V.1 Data Analysis¶
reading csv files¶
In [113]:
import csv
#train = csv.reader("resources/dataset_train.csv", dialect='excel')
In [114]:
data = []
with open("resources/dataset_train.csv") as csvfile:
reader = csv.DictReader(csvfile)
for row in reader:
data.append(row)
data
Out[114]:
[OrderedDict([('Index', '0'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Tamara'),
('Last Name', 'Hsu'),
('Birthday', '2000-03-30'),
('Best Hand', 'Left'),
('Arithmancy', '58384.0'),
('Astronomy', '-487.88608595139016'),
('Herbology', '5.727180298550763'),
('Defense Against the Dark Arts', '4.8788608595139005'),
('Divination', '4.7219999999999995'),
('Muggle Studies', '272.0358314131986'),
('Ancient Runes', '532.4842261151226'),
('History of Magic', '5.231058287281048'),
('Transfiguration', '1039.7882807428462'),
('Potions', '3.7903690663529614'),
('Care of Magical Creatures', '0.7159391270136213'),
('Charms', '-232.79405'),
('Flying', '-26.89')]),
OrderedDict([('Index', '1'),
('Hogwarts House', 'Slytherin'),
('First Name', 'Erich'),
('Last Name', 'Paredes'),
('Birthday', '1999-10-14'),
('Best Hand', 'Right'),
('Arithmancy', '67239.0'),
('Astronomy', '-552.0605073421984'),
('Herbology', '-5.987445780050746'),
('Defense Against the Dark Arts', '5.520605073421985'),
('Divination', '-5.612'),
('Muggle Studies', '-487.3405572673422'),
('Ancient Runes', '367.7603030171392'),
('History of Magic', '4.107170286816076'),
('Transfiguration', '1058.9445920642218'),
('Potions', '7.248741976146588'),
('Care of Magical Creatures', '0.091674183916857'),
('Charms', '-252.18425'),
('Flying', '-113.45')]),
OrderedDict([('Index', '2'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Stephany'),
('Last Name', 'Braun'),
('Birthday', '1999-11-03'),
('Best Hand', 'Left'),
('Arithmancy', '23702.0'),
('Astronomy', '-366.0761168823237'),
('Herbology', '7.7250166064392305'),
('Defense Against the Dark Arts', '3.6607611688232367'),
('Divination', '6.14'),
('Muggle Studies', '664.8935212343011'),
('Ancient Runes', '602.5852838484592'),
('History of Magic', '3.5555789956034967'),
('Transfiguration', '1088.0883479121803'),
('Potions', '8.728530920939827'),
('Care of Magical Creatures', '-0.5153268462809037'),
('Charms', '-227.34265'),
('Flying', '30.42')]),
OrderedDict([('Index', '3'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Vesta'),
('Last Name', 'Mcmichael'),
('Birthday', '2000-08-19'),
('Best Hand', 'Left'),
('Arithmancy', '32667.0'),
('Astronomy', '697.742808842469'),
('Herbology', '-6.4972144445985505'),
('Defense Against the Dark Arts', '-6.9774280884246895'),
('Divination', '4.026'),
('Muggle Studies', '-537.0011283872882'),
('Ancient Runes', '523.9821331934736'),
('History of Magic', '-4.8096366069645935'),
('Transfiguration', '920.3914493107919'),
('Potions', '0.8219105005879808'),
('Care of Magical Creatures', '-0.014040417239052931'),
('Charms', '-256.84675'),
('Flying', '200.64')]),
OrderedDict([('Index', '4'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Gaston'),
('Last Name', 'Gibbs'),
('Birthday', '1998-09-27'),
('Best Hand', 'Left'),
('Arithmancy', '60158.0'),
('Astronomy', '436.7752035539525'),
('Herbology', '-7.820623052454388'),
('Defense Against the Dark Arts', ''),
('Divination', '2.2359999999999998'),
('Muggle Studies', '-444.2625366004496'),
('Ancient Runes', '599.3245143172293'),
('History of Magic', '-3.4443765754165385'),
('Transfiguration', '937.4347240534976'),
('Potions', '4.311065821291761'),
('Care of Magical Creatures', '-0.2640700765443832'),
('Charms', '-256.3873'),
('Flying', '157.98')]),
OrderedDict([('Index', '5'),
('Hogwarts House', 'Slytherin'),
('First Name', 'Corrine'),
('Last Name', 'Hammond'),
('Birthday', '1999-04-04'),
('Best Hand', 'Right'),
('Arithmancy', '21209.0'),
('Astronomy', '-613.6871603822729'),
('Herbology', '-4.289196726941419'),
('Defense Against the Dark Arts', '6.136871603822727'),
('Divination', '-6.5920000000000005'),
('Muggle Studies', '-440.99770426820817'),
('Ancient Runes', '396.20180391410247'),
('History of Magic', '5.3802859494804585'),
('Transfiguration', '1052.8451637299704'),
('Potions', '11.751212035101073'),
('Care of Magical Creatures', '1.049894068203692'),
('Charms', '-247.94548999999998'),
('Flying', '-34.69')]),
OrderedDict([('Index', '6'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Tom'),
('Last Name', 'Guido'),
('Birthday', '2000-09-30'),
('Best Hand', 'Left'),
('Arithmancy', '49167.0'),
('Astronomy', '628.0460512248516'),
('Herbology', '-4.861976240490781'),
('Defense Against the Dark Arts', '-6.280460512248515'),
('Divination', ''),
('Muggle Studies', '-926.8925116349667'),
('Ancient Runes', '583.7424423327342'),
('History of Magic', '-7.322486416427907'),
('Transfiguration', '923.5395732944658'),
('Potions', '1.6466661386700716'),
('Care of Magical Creatures', '0.1530218296077356'),
('Charms', '-257.83447'),
('Flying', '261.55')]),
OrderedDict([('Index', '7'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Alicia'),
('Last Name', 'Hayward'),
('Birthday', '1997-07-08'),
('Best Hand', 'Right'),
('Arithmancy', '33010.0'),
('Astronomy', '411.4127268406701'),
('Herbology', '5.931831618301035'),
('Defense Against the Dark Arts', '-4.114127268406701'),
('Divination', '2.7689999999999997'),
('Muggle Studies', '-502.0213360777252'),
('Ancient Runes', '439.3514157413572'),
('History of Magic', ''),
('Transfiguration', '1041.091935399735'),
('Potions', '6.58179131885481'),
('Care of Magical Creatures', '-0.17170445234101908'),
('Charms', '-244.03492000000003'),
('Flying', '72.25')]),
OrderedDict([('Index', '8'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Bella'),
('Last Name', 'Leatherman'),
('Birthday', '1998-12-07'),
('Best Hand', 'Left'),
('Arithmancy', '20278.0'),
('Astronomy', '496.3949449852823'),
('Herbology', '-5.215891145868072'),
('Defense Against the Dark Arts', '-4.963949449852823'),
('Divination', '5.855'),
('Muggle Studies', '-626.552041128547'),
('Ancient Runes', '567.8424015938325'),
('History of Magic', '-6.198661229053442'),
('Transfiguration', '925.2555003872844'),
('Potions', '1.0865178213133744'),
('Care of Magical Creatures', '1.1470315267700957'),
('Charms', '-252.27561'),
('Flying', '244.11')]),
OrderedDict([('Index', '9'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Hayden'),
('Last Name', 'Aponte'),
('Birthday', '2001-10-13'),
('Best Hand', 'Right'),
('Arithmancy', '46316.0'),
('Astronomy', '527.1935850836812'),
('Herbology', '7.922205496177112'),
('Defense Against the Dark Arts', '-5.271935850836812'),
('Divination', '3.3560000000000003'),
('Muggle Studies', '-398.1019908932312'),
('Ancient Runes', '341.47560564416693'),
('History of Magic', '4.978613530314481'),
('Transfiguration', '1041.4146653613177'),
('Potions', '2.068824178512835'),
('Care of Magical Creatures', '-0.529578503638637'),
('Charms', '-244.57527000000002'),
('Flying', '-0.09')]),
OrderedDict([('Index', '10'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Antonio'),
('Last Name', 'Denning'),
('Birthday', '1998-05-21'),
('Best Hand', 'Right'),
('Arithmancy', '35619.0'),
('Astronomy', '604.9339619176021'),
('Herbology', '5.484188547740066'),
('Defense Against the Dark Arts', '-6.049339619176023'),
('Divination', '5.358'),
('Muggle Studies', '-530.7958955569857'),
('Ancient Runes', '484.8726713263256'),
('History of Magic', '5.6996535617818695'),
('Transfiguration', '1036.2853570584764'),
('Potions', '9.293131894951047'),
('Care of Magical Creatures', '-0.4965534984054157'),
('Charms', '-242.69168'),
('Flying', '64.61')]),
OrderedDict([('Index', '11'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Neville'),
('Last Name', 'Hall'),
('Birthday', '2001-02-16'),
('Best Hand', 'Left'),
('Arithmancy', '46550.0'),
('Astronomy', '438.55694958685325'),
('Herbology', '5.320518357754184'),
('Defense Against the Dark Arts', '-4.385569495868531'),
('Divination', '3.014'),
('Muggle Studies', '-518.5607177463045'),
('Ancient Runes', '417.0640932879666'),
('History of Magic', '4.8014365930153895'),
('Transfiguration', '1046.7619580239934'),
('Potions', '6.376965575596179'),
('Care of Magical Creatures', '-0.9196387437030824'),
('Charms', '-244.91343999999998'),
('Flying', '20.66')]),
OrderedDict([('Index', '12'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Rocky'),
('Last Name', 'Trask'),
('Birthday', '2000-03-13'),
('Best Hand', 'Right'),
('Arithmancy', '26647.0'),
('Astronomy', '709.0946138370517'),
('Herbology', '1.7053889315251418'),
('Defense Against the Dark Arts', '-7.0909461383705175'),
('Divination', '7.091'),
('Muggle Studies', '-328.7129552924333'),
('Ancient Runes', '435.50218282153816'),
('History of Magic', '6.300649174524696'),
('Transfiguration', '1037.0283168962144'),
('Potions', '8.110274495677984'),
('Care of Magical Creatures', '-0.9391444307251472'),
('Charms', '-244.00363'),
('Flying', '7.56')]),
OrderedDict([('Index', '13'),
('Hogwarts House', 'Slytherin'),
('First Name', 'Fred'),
('Last Name', 'Simms'),
('Birthday', '1997-02-27'),
('Best Hand', 'Left'),
('Arithmancy', '37984.0'),
('Astronomy', '-544.1920488261749'),
('Herbology', '-7.308855989623728'),
('Defense Against the Dark Arts', '5.441920488261747'),
('Divination', '-6.18'),
('Muggle Studies', '-319.94687532983534'),
('Ancient Runes', '391.6529162915922'),
('History of Magic', '2.91473188799465'),
('Transfiguration', '1082.5814087477208'),
('Potions', '10.948790872858233'),
('Care of Magical Creatures', '1.7738866787768597'),
('Charms', '-251.12516000000002'),
('Flying', '-80.42')]),
OrderedDict([('Index', '14'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Jan'),
('Last Name', 'Saylor'),
('Birthday', '1998-03-16'),
('Best Hand', 'Right'),
('Arithmancy', '44791.0'),
('Astronomy', '-197.52731769185084'),
('Herbology', '2.7424444339618588'),
('Defense Against the Dark Arts', '1.9752731769185083'),
('Divination', '6.603'),
('Muggle Studies', '527.3563229707513'),
('Ancient Runes', '605.5906004179383'),
('History of Magic', '5.480097322152394'),
('Transfiguration', '1063.522360673685'),
('Potions', '9.407484155858127'),
('Care of Magical Creatures', '-1.1126491143177455'),
('Charms', '-232.65964'),
('Flying', '-19.94')]),
OrderedDict([('Index', '15'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Long'),
('Last Name', 'Burks'),
('Birthday', '2001-10-03'),
('Best Hand', 'Left'),
('Arithmancy', '21630.0'),
('Astronomy', '-447.6498122360021'),
('Herbology', '4.046727136762162'),
('Defense Against the Dark Arts', '4.476498122360021'),
('Divination', '4.949'),
('Muggle Studies', '810.1544831409043'),
('Ancient Runes', '615.5310876490132'),
('History of Magic', '3.653494560249915'),
('Transfiguration', '1075.8538502533456'),
('Potions', '9.622899465889688'),
('Care of Magical Creatures', '0.5670955443680077'),
('Charms', '-229.38228999999998'),
('Flying', '17.0')]),
OrderedDict([('Index', '16'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Fran'),
('Last Name', 'Jorgensen'),
('Birthday', '1997-09-23'),
('Best Hand', 'Left'),
('Arithmancy', '41907.0'),
('Astronomy', '470.65375662672136'),
('Herbology', '-5.518263685781008'),
('Defense Against the Dark Arts', '-4.7065375662672135'),
('Divination', '4.425'),
('Muggle Studies', '-434.2932661222959'),
('Ancient Runes', '596.6100889263835'),
('History of Magic', '-4.1618229744065465'),
('Transfiguration', '967.2239116973597'),
('Potions', '5.027414761055882'),
('Care of Magical Creatures', '-1.135957011752296'),
('Charms', '-252.27344'),
('Flying', '174.27')]),
OrderedDict([('Index', '17'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Freddie'),
('Last Name', 'Ward'),
('Birthday', '2001-05-31'),
('Best Hand', 'Left'),
('Arithmancy', '58796.0'),
('Astronomy', '651.1987485578007'),
('Herbology', '-4.8207708528931414'),
('Defense Against the Dark Arts', '-6.5119874855780076'),
('Divination', '4.357'),
('Muggle Studies', '-468.2847232096298'),
('Ancient Runes', '626.3728860307857'),
('History of Magic', '-5.206672041512534'),
('Transfiguration', '935.5792903077672'),
('Potions', '3.0632066243706'),
('Care of Magical Creatures', '0.17361454831463918'),
('Charms', '-254.92326'),
('Flying', '212.37')]),
OrderedDict([('Index', '18'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Tyrone'),
('Last Name', 'Cooley'),
('Birthday', '2000-03-09'),
('Best Hand', 'Right'),
('Arithmancy', '15578.0'),
('Astronomy', '-151.08820873346482'),
('Herbology', '6.8718573378725765'),
('Defense Against the Dark Arts', '1.510882087334648'),
('Divination', '7.9060000000000015'),
('Muggle Studies', '645.4474512014251'),
('Ancient Runes', '607.4427290526703'),
('History of Magic', '6.317446315222874'),
('Transfiguration', '1091.054831002211'),
('Potions', '11.708777390143444'),
('Care of Magical Creatures', '0.2605563047012814'),
('Charms', '-226.76896000000002'),
('Flying', '11.22')]),
OrderedDict([('Index', '19'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Elden'),
('Last Name', 'Scholl'),
('Birthday', '1999-04-18'),
('Best Hand', 'Right'),
('Arithmancy', '56909.0'),
('Astronomy', '458.1270261474805'),
('Herbology', '6.981588542540248'),
('Defense Against the Dark Arts', '-4.581270261474805'),
('Divination', '5.686'),
('Muggle Studies', '-579.6685909175318'),
('Ancient Runes', '403.3276902605525'),
('History of Magic', '4.2658097542267495'),
('Transfiguration', '1052.0352351526687'),
('Potions', '3.4565189893797363'),
('Care of Magical Creatures', '0.0702055342612155'),
('Charms', '-242.99903999999998'),
('Flying', '3.81')]),
OrderedDict([('Index', '20'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Mel'),
('Last Name', 'Marion'),
('Birthday', '1998-12-20'),
('Best Hand', 'Left'),
('Arithmancy', ''),
('Astronomy', '703.5535475473841'),
('Herbology', '-3.858216489463063'),
('Defense Against the Dark Arts', '-7.035535475473843'),
('Divination', '5.8660000000000005'),
('Muggle Studies', '-433.25035863215834'),
('Ancient Runes', '610.7326695816761'),
('History of Magic', '-5.029523289367204'),
('Transfiguration', '944.9723856289353'),
('Potions', '3.0358906702990742'),
('Care of Magical Creatures', '0.16250128642216274'),
('Charms', '-252.72547999999998'),
('Flying', '215.2')]),
OrderedDict([('Index', '21'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Pansy'),
('Last Name', 'Mosher'),
('Birthday', '1999-12-15'),
('Best Hand', 'Left'),
('Arithmancy', '31882.0'),
('Astronomy', '689.3561417314064'),
('Herbology', '-5.76315776392788'),
('Defense Against the Dark Arts', '-6.8935614173140625'),
('Divination', '5.942'),
('Muggle Studies', '-16.519432386501975'),
('Ancient Runes', ''),
('History of Magic', '-1.9744468934349493'),
('Transfiguration', '961.1128278945888'),
('Potions', '4.431963256041222'),
('Care of Magical Creatures', '1.5627795342839057'),
('Charms', '-251.21916000000002'),
('Flying', '136.89')]),
OrderedDict([('Index', '22'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Joseph'),
('Last Name', 'Coulter'),
('Birthday', '2001-08-22'),
('Best Hand', 'Left'),
('Arithmancy', '39873.0'),
('Astronomy', '-264.6783109979997'),
('Herbology', '5.949951054189216'),
('Defense Against the Dark Arts', '2.6467831099799968'),
('Divination', '6.829'),
('Muggle Studies', '745.4656657154428'),
('Ancient Runes', '626.8233315636505'),
('History of Magic', '4.886733220972539'),
('Transfiguration', '1079.5493945614721'),
('Potions', '9.318098487516489'),
('Care of Magical Creatures', '0.36438707213343535'),
('Charms', '-228.79359'),
('Flying', '-1.72')]),
OrderedDict([('Index', '23'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Rosie'),
('Last Name', 'Tuggle'),
('Birthday', '1999-07-05'),
('Best Hand', 'Left'),
('Arithmancy', '44987.0'),
('Astronomy', '673.1671096812503'),
('Herbology', '0.13151630549744284'),
('Defense Against the Dark Arts', '-6.731671096812503'),
('Divination', '9.421'),
('Muggle Studies', '-709.6964283834683'),
('Ancient Runes', '461.89673418950485'),
('History of Magic', '0.5318228689636264'),
('Transfiguration', '1073.5852035654214'),
('Potions', '6.346026797398995'),
('Care of Magical Creatures', '1.7477697551565254'),
('Charms', '-245.83067000000003'),
('Flying', '23.46')]),
OrderedDict([('Index', '24'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Esther'),
('Last Name', 'Li'),
('Birthday', '2001-08-02'),
('Best Hand', 'Left'),
('Arithmancy', '79537.0'),
('Astronomy', '-511.2264383563732'),
('Herbology', '7.963183549223157'),
('Defense Against the Dark Arts', '5.1122643835637325'),
('Divination', '5.769'),
('Muggle Studies', '419.7555989776198'),
('Ancient Runes', '663.157592339586'),
('History of Magic', '7.089607790294157'),
('Transfiguration', '1035.424804329289'),
('Potions', '7.288428374016317'),
('Care of Magical Creatures', '0.2360522784837765'),
('Charms', '-228.83988'),
('Flying', '-6.4')]),
OrderedDict([('Index', '25'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Lucio'),
('Last Name', 'Wray'),
('Birthday', '1999-01-21'),
('Best Hand', 'Left'),
('Arithmancy', '46505.0'),
('Astronomy', '508.1611883528949'),
('Herbology', '6.11314406193578'),
('Defense Against the Dark Arts', '-5.081611883528949'),
('Divination', '3.284'),
('Muggle Studies', '-387.5559813493135'),
('Ancient Runes', '407.31994051086957'),
('History of Magic', '5.142065215250079'),
('Transfiguration', '1037.0804332529328'),
('Potions', '5.109155180436624'),
('Care of Magical Creatures', '1.3300362081007877'),
('Charms', '-244.66168'),
('Flying', '19.76')]),
OrderedDict([('Index', '26'),
('Hogwarts House', 'Slytherin'),
('First Name', 'Araceli'),
('Last Name', 'Flint'),
('Birthday', '1998-03-01'),
('Best Hand', 'Left'),
('Arithmancy', '66246.0'),
('Astronomy', '-419.02208521911433'),
('Herbology', '-6.655229617697697'),
('Defense Against the Dark Arts', '4.1902208521911435'),
('Divination', '-6.006'),
('Muggle Studies', '-322.019869231814'),
('Ancient Runes', '408.62799964753634'),
('History of Magic', '4.83789747048606'),
('Transfiguration', '1039.9434988980925'),
('Potions', '8.739039146518566'),
('Care of Magical Creatures', '0.022792243269547617'),
('Charms', '-253.04748999999998'),
('Flying', '-91.44')]),
OrderedDict([('Index', '27'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Georgianna'),
('Last Name', 'Wooten'),
('Birthday', '2000-01-18'),
('Best Hand', 'Right'),
('Arithmancy', '32991.0'),
('Astronomy', '612.5930323684191'),
('Herbology', '4.166334753886695'),
('Defense Against the Dark Arts', '-6.125930323684193'),
('Divination', '5.142'),
('Muggle Studies', '-528.8095274677344'),
('Ancient Runes', '455.1147406869151'),
('History of Magic', '1.8799979516358296'),
('Transfiguration', '1047.7888270360195'),
('Potions', '6.670688893495349'),
('Care of Magical Creatures', '0.604617316244031'),
('Charms', '-245.14028'),
('Flying', '76.2')]),
OrderedDict([('Index', '28'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Mimi'),
('Last Name', 'Baird'),
('Birthday', '1997-05-22'),
('Best Hand', 'Left'),
('Arithmancy', '40401.0'),
('Astronomy', '236.8888790015881'),
('Herbology', '-5.077751004602562'),
('Defense Against the Dark Arts', '-2.3688887900158813'),
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('Last Name', 'Bechtel'),
('Birthday', '1996-12-04'),
('Best Hand', 'Left'),
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('Astronomy', '-225.19098775272232'),
('Herbology', '5.92273080109759'),
('Defense Against the Dark Arts', '2.251909877527224'),
('Divination', '6.901'),
('Muggle Studies', '532.4948430822346'),
('Ancient Runes', '605.6336395658543'),
('History of Magic', '4.10439831005549'),
('Transfiguration', '1053.5489411548797'),
('Potions', '6.437951190911093'),
('Care of Magical Creatures', '0.10777243140792564'),
('Charms', '-231.12434'),
('Flying', '12.97')]),
OrderedDict([('Index', '983'),
('Hogwarts House', 'Ravenclaw'),
('First Name', 'Walker'),
('Last Name', 'Baldridge'),
('Birthday', '2001-09-15'),
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OrderedDict([('Index', '984'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Lori'),
('Last Name', 'Lavigne'),
('Birthday', '1999-03-03'),
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OrderedDict([('Index', '985'),
('Hogwarts House', 'Slytherin'),
('First Name', 'Kevin'),
('Last Name', 'Easterling'),
('Birthday', '1998-02-17'),
('Best Hand', 'Right'),
('Arithmancy', '52033.0'),
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OrderedDict([('Index', '986'),
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('First Name', 'Fidel'),
('Last Name', 'Eagle'),
('Birthday', '2001-09-10'),
('Best Hand', 'Left'),
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OrderedDict([('Index', '987'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Clair'),
('Last Name', 'Keener'),
('Birthday', '1997-03-10'),
('Best Hand', 'Left'),
('Arithmancy', '29786.0'),
('Astronomy', '283.64811844149574'),
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('History of Magic', '-3.719277333643428'),
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OrderedDict([('Index', '988'),
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('First Name', 'Landon'),
('Last Name', 'Barclay'),
('Birthday', '2000-03-06'),
('Best Hand', 'Left'),
('Arithmancy', '61478.0'),
('Astronomy', '-609.877736823669'),
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('History of Magic', '4.2912524966651695'),
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('Charms', '-230.87772999999999'),
('Flying', '10.65')]),
OrderedDict([('Index', '989'),
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('First Name', 'Delilah'),
('Last Name', 'Compton'),
('Birthday', '2000-06-13'),
('Best Hand', 'Left'),
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('Defense Against the Dark Arts', '6.173040592011003'),
('Divination', '2.489'),
('Muggle Studies', '564.9925526953859'),
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('History of Magic', '4.42797347861599'),
('Transfiguration', '1069.6985519546463'),
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('Charms', '-231.61222999999998'),
('Flying', '16.41')]),
OrderedDict([('Index', '990'),
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('First Name', 'Jaime'),
('Last Name', 'Gill'),
('Birthday', '1998-08-26'),
('Best Hand', 'Right'),
('Arithmancy', '33081.0'),
('Astronomy', '-606.8929836731268'),
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OrderedDict([('Index', '991'),
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('First Name', 'Ernestina'),
('Last Name', 'Faust'),
('Birthday', '1998-11-05'),
('Best Hand', 'Right'),
('Arithmancy', '57471.0'),
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OrderedDict([('Index', '992'),
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('First Name', 'Casey'),
('Last Name', 'Nix'),
('Birthday', '2001-03-04'),
('Best Hand', 'Left'),
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('Herbology', '0.4278419978586845'),
('Defense Against the Dark Arts', '3.60073407732599'),
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OrderedDict([('Index', '993'),
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('First Name', 'Geneva'),
('Last Name', 'Cazares'),
('Birthday', '1997-11-02'),
('Best Hand', 'Left'),
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OrderedDict([('Index', '994'),
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('First Name', 'Wade'),
('Last Name', 'Rau'),
('Birthday', '1997-03-29'),
('Best Hand', 'Left'),
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('Astronomy', '-344.6408678273616'),
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OrderedDict([('Index', '995'),
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('First Name', 'Judy'),
('Last Name', 'Prince'),
('Birthday', '2001-09-13'),
('Best Hand', 'Left'),
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('History of Magic', ''),
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OrderedDict([('Index', '996'),
('Hogwarts House', 'Gryffindor'),
('First Name', 'Corinne'),
('Last Name', 'Odum'),
('Birthday', '2000-09-20'),
('Best Hand', 'Left'),
('Arithmancy', '46834.0'),
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('Defense Against the Dark Arts', ''),
('Divination', '3.6639999999999997'),
('Muggle Studies', '-433.1452386890312'),
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('Care of Magical Creatures', '1.353165395276162'),
('Charms', '-253.21298'),
('Flying', '124.38')]),
OrderedDict([('Index', '997'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Randall'),
('Last Name', 'Suarez'),
('Birthday', '1999-11-26'),
('Best Hand', 'Right'),
('Arithmancy', '70008.0'),
('Astronomy', '272.07163583393867'),
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('Defense Against the Dark Arts', '-2.7207163583393865'),
('Divination', '5.8229999999999995'),
('Muggle Studies', '-778.4496857528444'),
('Ancient Runes', '427.2526382602792'),
('History of Magic', '6.336927762560327'),
('Transfiguration', '1070.8767088849693'),
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('Care of Magical Creatures', '-1.862924155511048'),
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OrderedDict([('Index', '998'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Zackary'),
('Last Name', 'Barajas'),
('Birthday', '1997-01-09'),
('Best Hand', 'Left'),
('Arithmancy', '25573.0'),
('Astronomy', '736.1978186799658'),
('Herbology', '3.831587951099196'),
('Defense Against the Dark Arts', '-7.361978186799657'),
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('History of Magic', '8.747921499533799'),
('Transfiguration', '1034.9161898971367'),
('Potions', '10.399371582495586'),
('Care of Magical Creatures', '-2.3248243720790978'),
('Charms', '-245.4523'),
('Flying', '9.77')]),
OrderedDict([('Index', '999'),
('Hogwarts House', 'Hufflepuff'),
('First Name', 'Kristi'),
('Last Name', 'Holman'),
('Birthday', '1997-04-24'),
('Best Hand', 'Right'),
('Arithmancy', '61931.0'),
('Astronomy', '467.09978624175767'),
('Herbology', '2.2951923716156366'),
('Defense Against the Dark Arts', '-4.670997862417575'),
('Divination', '5.079'),
('Muggle Studies', '-695.5355940729864'),
('Ancient Runes', '404.42664924933337'),
('History of Magic', '6.140868326447103'),
('Transfiguration', '1073.1595885065994'),
('Potions', '7.735978932667915'),
('Care of Magical Creatures', '0.6214296575732435'),
('Charms', '-245.9408'),
('Flying', '-57.27')]),
...]
In [115]:
# extract column names
colnames = data[0].keys()
colnames
Out[115]:
odict_keys(['Index', 'Hogwarts House', 'First Name', 'Last Name', 'Birthday', 'Best Hand', 'Arithmancy', 'Astronomy', 'Herbology', 'Defense Against the Dark Arts', 'Divination', 'Muggle Studies', 'Ancient Runes', 'History of Magic', 'Transfiguration', 'Potions', 'Care of Magical Creatures', 'Charms', 'Flying'])
In [116]:
data_column = {}
for col in colnames:
col_values = []
for dic in data:
try:
col_values.append(float(dic[col]))
except ValueError :
col_values.append(str(dic[col]))
data_column[col] = col_values
data_column
Out[116]:
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'Gryffindor',
'Hufflepuff',
'Ravenclaw',
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'Gryffindor',
'Hufflepuff',
'Gryffindor',
'Slytherin',
'Gryffindor',
'Hufflepuff',
'Gryffindor',
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'Slytherin',
'Hufflepuff',
'Hufflepuff',
'Ravenclaw',
'Slytherin',
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'Hufflepuff',
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'Slytherin',
'Slytherin',
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'Hufflepuff',
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'Ravenclaw',
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'Gryffindor',
'Gryffindor',
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'Gryffindor',
'Gryffindor',
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'Ravenclaw',
'Hufflepuff',
'Ravenclaw',
'Slytherin',
'Gryffindor',
'Hufflepuff',
'Hufflepuff',
'Hufflepuff',
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compute values for pd.describe() function¶
standalone functions¶
standalone max¶
In [117]:
def isnumeric(entry):
try:
float(entry)
return True
except ValueError:
return False
In [118]:
def muggle_max(column):
result = column[0]
for entry in column:
if isnumeric(entry):
if entry > result:
result = entry
return result
standalone min¶
In [119]:
def muggle_min(column):
result = column[0]
for entry in column:
if isnumeric(entry):
if entry < result:
result = entry
return result
standalone count¶
In [120]:
def muggle_count(column):
result = sum(isinstance(num, float) for num in column)
return result
standalone std¶
In [121]:
def muggle_std(column, mean, count):
import math
numerator = 0
for entry in column:
if isnumeric(entry):
numerator += (entry - mean)**2
denom = count - 1
std = math.sqrt(numerator / denom)
return std
standalone mean¶
In [122]:
def muggle_mean(column):
count =
File "<ipython-input-122-d5d1766fb42b>", line 2 count = ^ SyntaxError: invalid syntax
In [123]:
describe = {k: [] for k in ["count", "mean", "std", "min","25%", "50%", "75%", "max"]}
describe
Out[123]:
{'25%': [],
'50%': [],
'75%': [],
'count': [],
'max': [],
'mean': [],
'min': [],
'std': []}
count()¶
In [124]:
for colname in data_column:
if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
count = "Not numeric"
else:
# filter out None values from counting
count = muggle_count(data_column[colname])
# count = len(data_column[colname]) # this counts up empty values as well
describe["count"].append(count)
describe
Out[124]:
{'25%': [],
'50%': [],
'75%': [],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [],
'mean': [],
'min': [],
'std': []}
mean()¶
In [125]:
#sum(filter(None, data_column['Ancient Runes']))
for colname in data_column:
dict_index = list(data_column.keys()).index(colname)
count = describe["count"][dict_index]
if count != "Not numeric":
mean = sum([i for i in data_column[colname] if isinstance(i, float)]) / count
else:
mean = "Not numeric"
describe["mean"].append(mean)
describe
Out[125]:
{'25%': [],
'50%': [],
'75%': [],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [],
'mean': [799.5,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49634.57024265645,
39.797130890164766,
1.1410195296768058,
-0.38786349744178583,
3.1539096732863516,
-224.5899148634645,
495.747970059158,
2.9630946151165927,
1030.0969463871313,
5.9503729927800775,
-0.0534271367004963,
-243.3744090125,
21.958012499999985],
'min': [],
'std': []}
std()¶
In [126]:
#sum(filter(None, data_column['Ancient Runes']))
for colname in data_column:
dict_index = list(data_column.keys()).index(colname)
count = describe["count"][dict_index]
mean = describe["mean"][dict_index]
if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
std = "Not numeric"
else:
std = muggle_std(data_column[colname],mean,count)
describe["std"].append(std)
describe
Out[126]:
{'25%': [],
'50%': [],
'75%': [],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [],
'mean': [799.5,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49634.57024265645,
39.797130890164766,
1.1410195296768058,
-0.38786349744178583,
3.1539096732863516,
-224.5899148634645,
495.747970059158,
2.9630946151165927,
1030.0969463871313,
5.9503729927800775,
-0.0534271367004963,
-243.3744090125,
21.958012499999985],
'min': [],
'std': [462.0245303732981,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
16679.806035559308,
520.298267605171,
5.219681993531829,
5.212793707585852,
4.155300897977581,
486.3448396520667,
106.28516457845276,
4.425774656123574,
44.12511586678027,
3.14785425039337,
0.971456967725625,
8.783639876017116,
97.63160206806155]}
max()¶
In [127]:
for colname in data_column:
if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
max_value = "Not numeric"
else:
max_value = muggle_max(data_column[colname])
describe["max"].append(max_value)
describe
Out[127]:
{'25%': [],
'50%': [],
'75%': [],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [1599.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
104956.0,
1016.2119403873959,
11.612895082210851,
9.667405456412162,
10.032,
1092.3886105728684,
745.3962198761234,
11.889712754042707,
1098.9582005409077,
13.536762124994421,
3.0565457738978123,
-225.42813999999998,
279.07],
'mean': [799.5,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49634.57024265645,
39.797130890164766,
1.1410195296768058,
-0.38786349744178583,
3.1539096732863516,
-224.5899148634645,
495.747970059158,
2.9630946151165927,
1030.0969463871313,
5.9503729927800775,
-0.0534271367004963,
-243.3744090125,
21.958012499999985],
'min': [],
'std': [462.0245303732981,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
16679.806035559308,
520.298267605171,
5.219681993531829,
5.212793707585852,
4.155300897977581,
486.3448396520667,
106.28516457845276,
4.425774656123574,
44.12511586678027,
3.14785425039337,
0.971456967725625,
8.783639876017116,
97.63160206806155]}
min()¶
In [128]:
for colname in data_column:
if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
min_value = "Not numeric"
else:
min_value = muggle_min(data_column[colname])
describe["min"].append(min_value)
describe
Out[128]:
{'25%': [],
'50%': [],
'75%': [],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [1599.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
104956.0,
1016.2119403873959,
11.612895082210851,
9.667405456412162,
10.032,
1092.3886105728684,
745.3962198761234,
11.889712754042707,
1098.9582005409077,
13.536762124994421,
3.0565457738978123,
-225.42813999999998,
279.07],
'mean': [799.5,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49634.57024265645,
39.797130890164766,
1.1410195296768058,
-0.38786349744178583,
3.1539096732863516,
-224.5899148634645,
495.747970059158,
2.9630946151165927,
1030.0969463871313,
5.9503729927800775,
-0.0534271367004963,
-243.3744090125,
21.958012499999985],
'min': [0.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
-24370.0,
-966.7405456412164,
-10.295662748653244,
-10.16211940387396,
-8.727,
-1086.4968348887983,
283.8696087336624,
-8.858992991610515,
906.6273196915248,
-4.697483767872527,
-3.313675764124477,
-261.04892,
-181.47],
'std': [462.0245303732981,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
16679.806035559308,
520.298267605171,
5.219681993531829,
5.212793707585852,
4.155300897977581,
486.3448396520667,
106.28516457845276,
4.425774656123574,
44.12511586678027,
3.14785425039337,
0.971456967725625,
8.783639876017116,
97.63160206806155]}
25%¶
In [129]:
# test = data_column['Ancient Runes'].remove(None)
# test
#while "" in data_column['Ancient Runes']: data_column['Ancient Runes'].remove("")
sorted_column = sorted([elem for elem in data_column['Ancient Runes'] if elem != ''])
sorted_column
Out[129]:
[283.8696087336624, 298.21895991191036, 299.9832769012167, 302.56240901356443, 302.89290879777644, 307.8595362768459, 311.9260923001503, 312.7376723691338, 312.8282722622843, 314.30122353349253, 315.70420686755614, 316.0940578886565, 317.697969869971, 319.1080196126196, 320.31860529605365, 322.22165536711805, 323.4515005267623, 323.6682537657317, 325.8143841057654, 326.63658884603484, 327.38462690306415, 327.6896556508358, 328.38160032983745, 328.5446156481811, 328.7159240775466, 328.7538476856115, 330.0154228550568, 330.1794215648631, 330.43933194955866, 330.99167222789987, 331.7419593406437, 333.3277714655556, 333.6560195053469, 333.70473751706606, 334.09609989333217, 335.23456452572975, 336.03108524921794, 336.50614583541494, 336.6360753157603, 336.67060973529027, 336.7813889165632, 336.91673473968103, 337.19150756573936, 337.6545036593012, 339.06348133055326, 339.7751540064821, 340.65908405482054, 341.47560564416693, 342.6973081853523, 343.39296962583734, 343.94400609756514, 345.05035969230613, 345.33854225537607, 345.45002794477654, 345.53744608115716, 345.55387007774414, 345.6513310742178, 346.10425281828276, 346.8305870522988, 346.89826052188386, 347.1858612771973, 347.3995122924344, 347.4120254178552, 347.5395781240191, 348.013724492062, 348.03554148037836, 348.1352064320032, 348.35672446399064, 348.53520024264475, 349.17758188081075, 349.5531220461173, 349.67235867893464, 349.9146039493916, 350.1109816572477, 350.3018425725158, 350.30527411138735, 350.7343714457147, 351.03124653586264, 351.05527687569503, 351.059963478086, 351.282821469876, 351.296797613773, 351.3748806816198, 352.5459248957926, 352.6472816767297, 352.8471790196822, 352.85125591754206, 352.9029126985723, 353.1861837923332, 353.1997324897281, 353.817118591611, 353.91206818476184, 353.91400224442214, 353.9804921454713, 354.38913671289566, 354.4084610599378, 354.50069393932444, 354.73273102288323, 356.28631716499603, 356.48174410259315, 356.7167509002228, 356.8796160433159, 357.03381226885665, 357.3276954044661, 357.7061703542378, 357.86332492572166, 358.42320819029334, 358.6528504598957, 358.72468060179017, 358.79774496285035, 358.904410560868, 359.8122093281225, 360.1666549283948, 360.4265736215538, 360.8538857261409, 360.8650784212755, 361.25191523683, 361.4712485091361, 361.7148151149077, 361.92760246948234, 361.9309991147921, 362.3057092500737, 362.34630223638914, 363.1465862013903, 363.35690519590827, 363.3708931033683, 363.7554319016304, 363.8055380216672, 363.83021640827315, 363.96582505592505, 364.2249061722448, 364.9743393316706, 364.99484842756783, 365.1516475576977, 365.22802473404977, 365.67727903227166, 365.70173293707126, 366.0970928369401, 366.5317559557711, 366.542930123418, 366.60840587795394, 366.7062468814712, 366.7438360311535, 366.7876323005504, 366.87005209859, 367.13012383343056, 367.2577786634355, 367.2876332061903, 367.6439107565705, 367.7603030171392, 367.8294450512149, 368.06931582165436, 368.24171532588167, 368.286224203128, 368.4273188777912, 368.8325865843425, 369.06697684921204, 369.1283340159066, 369.6498636998032, 369.7181090916205, 369.7237796745099, 369.895112698496, 370.01147214766974, 370.1073276731136, 370.12607951621015, 370.18481337483047, 370.3452935990898, 370.37228964615446, 370.37549953179604, 370.4816797403157, 370.79888618746224, 371.18904791068985, 371.3229745861128, 371.5787287499591, 372.03100379761963, 372.0458319129935, 372.1895482882665, 372.53478423352544, 372.56100226812316, 372.6753813218698, 372.74175332647934, 372.77925452881175, 372.97703820707915, 373.1309915961969, 373.2900322282527, 373.39320912194364, 373.39862567281625, 373.6693171012751, 373.72850162807055, 373.86627654195917, 374.1483573622188, 374.2283838638125, 374.422516668655, 374.51271907398217, 374.5229978785511, 374.74771957905335, 374.7823613572351, 375.1840581617369, 375.4921131358387, 375.728085285858, 376.09397542002364, 376.11180485885, 376.18840038556, 376.31307041670084, 376.5402382619666, 376.5683923402442, 376.8050967460728, 376.9592877074098, 377.18702689707914, 377.3037096775228, 377.429164486618, 377.4714456236843, 377.49122469543437, 377.5506125543286, 377.6503150254075, 377.80979775736336, 377.85172106440393, 377.86845147094056, 378.016062520922, 378.0453367018383, 378.0686321452762, 378.10141874229515, 378.10728396510086, 378.2261941873104, 378.32600633384567, 378.4733850663932, 378.77825263632377, 378.89263067772634, 379.04195960795005, 379.1382340669694, 379.1414663677916, 379.39253966230314, 379.58172212436403, 379.6189484764891, 379.6486936206517, 379.9919093681388, 380.0436819923186, 380.1346584525196, 380.2449783858424, 380.5109728339032, 380.7298598491758, 380.7788132118395, 380.82339850169984, 380.8759177831605, 380.8913446622989, 381.05457929351303, 381.1152016152613, 381.24297527620064, 381.29121766529886, 381.7363956083975, 381.95383729822197, 382.3908315167381, 382.40324487380013, 382.46162639904816, 382.5045121570874, 382.600311868506, 382.61349461623166, 382.6814264919278, 383.0781938528959, 383.1755476596521, 383.4449369721156, 383.492673633032, 383.7704562323709, 384.1764654736427, 384.30150833363814, 384.3827900039908, 384.3865040093263, 384.4374213972189, 384.4422909713875, 384.457200777486, 384.62258254292, 384.72800410068885, 384.7756762878418, 385.0149322785431, 385.0504106768668, 385.06261250357255, 385.18897966598473, 385.24737483861213, 385.2992867359632, 385.41798540681145, 385.4361324862615, 385.4910583105047, 385.5675051703364, 385.5953475936535, 385.6795369390843, 385.75632072583846, 385.81090959351684, 385.9057398884961, 385.92055257067256, 385.95776523937934, 386.0004662138371, 386.05851258077575, 386.0862370009991, 386.227460206767, 386.41912618796374, 386.4337750708654, 386.8046962172157, 387.2356260460736, 387.35136663385794, 387.5135920847074, 387.51819699310136, 387.6582358218795, 387.68178055707983, 387.80663676300077, 387.83613224479865, 387.90107735062867, 387.9448517648036, 388.1914520576398, 388.21979445044263, 388.2611861039331, 388.53596195907903, 388.8423621480715, 388.92350621679526, 389.13774602243683, 389.2053009082005, 389.2803603770486, 389.2985395157461, 389.73541096572325, 389.90187347159775, 389.9618442790053, 390.076785844714, 390.11148490490507, 390.17597069250235, 390.34914025318017, 390.47381373122596, 390.5319994189705, 390.678973029703, 390.68213322228144, 390.8032697663546, 390.9267936059132, 390.9286304627978, 390.96463663834834, 391.0234419260746, 391.07599716034315, 391.12347531272485, 391.1705139101983, 391.4918696715426, 391.51052384298765, 391.5244705144792, 391.5263350521888, 391.6529162915922, 391.71578104296464, 391.9583532190272, 391.9935417006461, 392.01320727523307, 392.24522497225433, 392.261525633013, 392.29596800999326, 392.4772235902512, 392.7028738377192, 393.33588598881363, 393.386225045322, 393.4908391380635, 393.6624107882125, 393.7657031449038, 393.78776391362817, 394.06752811728296, 394.1912682186811, 394.2019539453881, 394.4803720737017, 394.59188938917436, 394.611044209752, 394.6245135449816, 394.6437711129717, 394.68568783820837, 394.7085974294047, 394.98893183953726, 395.01514000869753, 395.0876144687507, 395.15373416818085, 395.1915106324108, 395.38560781536796, 395.5129669617437, 395.5192233304736, 395.54862434596237, 395.6230194116517, 395.7218484505045, 395.85341689844887, 395.9415587840149, 396.07551305856583, 396.1842501792463, 396.20180391410247, 396.237252407457, 396.2899378436185, 396.2920871338079, 396.3231522929996, 396.49687630181, 396.7957355451247, 397.0455119024009, 397.15109582348975, 397.3595771379458, 397.5110469338152, 397.54290877491064, 397.7111675275944, 397.7118039517038, 397.74195799541013, 397.9619765623471, 398.49059638175913, 398.4978923057157, 398.49990048810594, 398.54201282778035, 398.5531849342448, 398.8227210804116, 398.8402376014467, 399.04129957349136, 399.0583963784719, 399.20034200937516, 399.21983047537765, 399.2261134252395, 399.2280784833497, 399.46191429058524, 399.5805919112912, 399.6055043219065, 399.7636080150557, 399.92953405383935, 399.9310201456256, 400.0257041040255, 400.11402619644167, 400.45995330802185, 400.6345188529753, 400.64807776299125, 400.8555114655534, 400.89425760831665, 400.9782936555998, 401.2195789703797, 401.2322511385158, 401.2535323514392, 401.35892557670036, 401.4323237227092, 401.5563770965829, 401.58619205266126, 401.7253781341812, 401.88742933330735, 402.2395078208797, 402.40175277231765, 402.5129258941878, 402.5162992920961, 402.5438609598957, 402.6128571018502, 402.69624718938485, 402.89092434606596, 402.9104654193309, 403.01866070945516, 403.05219528287097, 403.05759398478307, 403.2784518130185, 403.3276902605525, 403.44011797371127, 403.4747826912923, 403.6097863225959, 403.71291151908974, 403.9052648496613, 403.9373332817112, 404.03834173002883, 404.09598327204117, 404.42664924933337, 404.6439806804137, 404.71388740571854, 404.76851711063495, 404.788800669551, 404.89774244613676, 405.29919839175375, 405.49289976007606, 405.5690914651922, 405.7195112274292, 405.7418984473488, 406.0884996713497, 406.1657425369645, 406.18381761432516, 406.2924580187925, 406.318983111972, 406.3652622434722, 406.39788743801546, 406.4450756021054, 406.55725783599365, 406.55830584131485, 406.5832376866552, 406.6395240622156, 406.6885852059812, 406.6890350351676, 406.6996907875209, 406.7769754427954, 407.00942087866684, 407.07801654789023, 407.1401840978691, 407.31994051086957, 407.44679214456255, 407.4588625793205, 407.52167399962235, 407.5263941790734, 407.53933232146215, 407.5755389470678, 407.60062080683576, 407.6347584815886, 407.8889155442712, 407.986740606556, 408.0496419874004, 408.25224069222776, 408.25978443942927, 408.28267256684836, 408.324215245421, 408.326957801984, 408.33127192815147, 408.44248739532617, 408.50782141573484, 408.62799964753634, 408.6942548834237, 408.77300533228515, 408.8489201352894, 409.2387639463169, 409.2814684931514, 409.39978046859255, 409.6526277683738, 409.749351551069, 409.8330039291363, 409.87484951675117, 409.9452290235061, 410.0580287844673, 410.1246185457955, 410.1679906363379, 410.2003137607887, 410.48192130146055, 410.9398221894578, 410.95777069708083, 410.97968272039003, 411.03990190478265, 411.1502890519687, 411.17884569303163, 411.3884030926083, 411.5496493243264, 411.7427542412632, 411.9717348289595, 412.152266543836, 412.2427663893615, 412.46747202788737, 412.47623732750094, 412.7205784719457, 412.76332557427116, 413.02339796903, 413.06094158919836, 413.0750891989611, 413.1300979030377, 413.39553376675576, 413.54249483875503, 413.6533637854257, 413.68208890584987, 413.8686017217224, 413.8993802524207, 413.953832355, 414.16464823363197, 414.20848677286574, 414.25739614816484, 414.3598534213185, 414.5576008199456, 415.001099890566, 415.20839915764526, 415.60017763191024, 415.61703295945364, 415.7446397715005, 415.7725702811559, 415.810185513554, 416.3137629929717, 416.3525060227138, 416.61970791071434, 416.7667305343037, 416.8643687445887, 416.89342817368515, 417.04243098400144, 417.0640932879666, 417.06510685492265, 417.2556309736137, 417.28147772160327, 417.33977661893965, 417.35645565165305, 417.52044821821687, 417.633131109613, 417.63981941008973, 417.64218773378235, 417.6517443932835, 417.6560340988207, 418.0242413319746, 418.3881086975703, 418.43126257981726, 418.4489578655587, 418.4577529258741, 418.4646065434931, 418.6369089584337, 418.6780776995717, 418.7204308752469, 419.20884282098433, 419.3398897564531, 419.5410370404423, 419.5738353586065, 419.5813077635636, 419.7907246277919, 419.97021297210546, 420.0601486318928, 420.1663596203183, 420.1859571607668, 420.26103216448297, 420.69438457643577, 420.84432452137946, 420.87752395878687, 420.9428908417543, 420.960898098254, 421.2790028478943, 421.4552535482572, 421.4898455456878, 421.5993310820313, 422.23820311439346, 422.3571530502464, 422.44122698933893, 422.4493898931785, 422.6159763980832, 422.7510677806015, 422.838713109466, 422.86407971283774, 423.0644431796627, 423.32658286220436, 423.6354881734318, 423.79262755695197, 424.1314001560468, 424.1737103817173, 424.328539659072, 424.3572745118393, 424.6305696259776, 425.2180272629188, 425.26542622854754, 425.3075702079862, 425.3294773189624, 425.5114969894952, 425.89426163335935, 425.91712278318084, 425.969413386276, 426.85695913382796, 426.94975282618486, 426.9647244818817, 427.01350930339134, 427.1000252938462, 427.2526382602792, 427.26025618750833, 427.2737274691647, 427.41195717132683, 427.6467836329954, 427.77331828120896, 427.8987151446321, 428.13363786861726, 428.34971424877295, 428.4828783574897, 428.6117494783657, 428.75131239398763, 428.97432763168746, 429.20720532102234, 429.259215630373, 429.31775035978256, 429.5183597810369, 429.70803007203295, 430.0873281585602, 430.1566053785701, 430.1812892011132, 430.2352909227532, 430.2670560612754, 430.6443281936069, 430.6627700129887, 430.7268642031872, 430.8679433911233, 431.19614151295474, 431.51757085428915, 431.6946668749955, 431.8837159930976, 431.90165768333486, 432.15880662062483, 432.4515575319918, 432.4583829183831, 433.1138233944323, 433.9123413531423, 434.221693838584, 435.0270046559933, 435.1913954894261, 435.33747566142716, 435.4704442910855, 435.50218282153816, 435.73230965965536, 435.88325424843316, 435.95286520757486, 436.0511445096355, 436.1159657868672, 436.6478557829657, 436.8555949924961, 437.2001972439055, 437.38849942957177, 437.6783017525791, 437.7989845658098, 437.84400739658724, 438.1783632671943, 438.3074515221237, 438.31538669812005, 438.6507438542418, 439.3514157413572, 439.41231172708825, 439.83616950216566, 439.8788953579015, 439.96470707580215, 440.21059824863676, 440.26028001152497, 440.3531119690357, 441.0927313185914, 441.24593000447646, 441.27364995110565, 441.5592176143104, 441.7305583811767, 441.8065266436088, 441.82635446874366, 441.9167339929553, 442.0216518796211, 442.1729676798249, 442.45117990695184, 442.6285900814125, 442.93636006813017, 443.0590923278257, 443.8509816423462, 444.2831477855997, 444.6604652050081, 444.868756616538, 444.94349548649114, 444.9568746558168, 445.1987328504506, 445.3539883186125, 445.50127243842337, 445.5349105816361, 445.8275645781746, 445.91897923547515, 446.1241324503237, 446.5910119574488, 446.6533996565047, 446.89212365585604, 447.02859854708834, 447.4991693781053, 447.9060066925425, 448.2469179293768, 448.2952507697139, 449.1092096094355, 449.31752646430994, 449.3842536293274, 449.87630545327767, 450.7896991195372, 451.0132693619752, 451.17296696189453, 451.6491658130319, 451.9062485333192, 451.907092520936, 452.27387866593364, 452.4718613319812, 452.7325286791143, 452.7848731514724, 452.9641247185565, 453.3304856552162, 453.818818122113, 453.91232498038454, 454.20230745016516, 454.5897160029713, 455.1147406869151, 455.8680262182909, 456.2318579175355, 456.35406360746805, 456.63592378464597, 457.1362362520362, 458.3807161533793, 458.4435171075445, 458.53898590096526, 459.21001773686135, 459.2921793735066, 459.5039770391672, 460.5686289828995, 460.86106335006036, 461.2626553856917, 461.4497571737206, 461.6397818898182, 461.6550675878611, 461.89673418950485, 462.16259408384764, 463.3040777473958, 463.91830514671324, 464.3275982706536, 465.03512356919924, 465.3181707485009, 465.411826568784, 465.4632342261724, 467.6622165400312, 467.7306238546975, 467.95041791951735, 468.8615669233838, 471.2868596619131, 471.7597163030389, 472.8254287287471, 473.7168029450325, 475.2888479598292, 477.5052071653869, 480.13605325383776, 481.40696630580834, 481.5168542748072, 482.0620580996968, 484.8726713263256, 485.7098886168212, 486.5746983111365, 488.0185114462386, 488.0300489310814, 489.25044695337766, 489.32563657111433, 490.51993745766, 490.7030699269789, 503.3779359041028, 503.7123382034637, 508.938508144804, 510.2795637927819, 518.1445520721857, 518.2174417485733, 523.9821331934736, 525.0580596401792, 527.9337937892278, 530.37867666754, 531.9470917354622, 532.3484938569541, 532.4842261151226, 533.2967276040088, 533.5164489780816, 535.1024639680702, 535.4252346278513, 536.1225080307736, 536.6330150743453, 536.7796445862099, 538.4505793272707, 538.8803199866671, 539.4581323115779, 539.9321259338851, 540.008171318455, 540.345734335923, 540.4006919856636, 540.4167445606979, 540.539570096604, 540.6540072684584, 541.1666551535301, 541.425350945355, 542.5660380347808, 543.4311802079626, 544.0375486694694, 544.5216736119394, 544.6111192485308, 544.6955274014529, 545.5686301987799, 546.0176495891253, 546.171597704195, 547.3632662681209, 547.9062114340268, 548.4780139683842, 549.628687921821, 551.139509568161, 551.6965927196051, 551.7320793171164, 552.231491358456, 552.6217210478852, 552.6515187224387, 552.7528233926955, 552.7763402531309, 552.9393513851658, 552.9989979845674, 553.3779852414534, 554.0521040806414, 554.2506832729167, 554.330115083922, 554.5658957950559, 555.1066962558068, 555.7650677511333, 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568.3490491745223, 568.3881805298953, 568.5209381719243, 568.7877937159745, 568.9521049751703, 569.2048304340717, 569.3116078495827, 569.4155603033925, 569.8515365506172, 569.8705453199843, 569.9023852475804, 570.0235401622484, 570.2868002122639, 570.3616375327963, 570.3810431036911, 570.4574586978267, 570.607142561354, 570.7156402745386, 571.2755859306069, 571.3624087031078, 571.3787174021621, 571.4926787152841, 571.7582851195882, 571.7722679277531, 571.7766628950061, 572.0947469663245, 572.1756070016962, 572.238194739632, 572.2814761469613, 572.3820508914129, 572.5727892101846, 572.6225142858286, 572.7279176483212, 572.8403769320282, 572.9517398873222, 573.1964144224569, 573.2188619585679, 573.2191254053469, 573.5525538447382, 573.9103633247212, 573.9220846552782, 574.3059001123361, 575.2868483446382, 575.3693933712426, 575.5754730388662, 575.6337077886376, 575.7180182994442, 575.7238710312366, 575.8316244901987, 575.90381126072, 576.1130255755422, 576.1867417715915, 576.2049635458487, 576.2858997119117, 576.4127727578856, 576.4728318633063, 576.4978364268268, 576.7281339758501, 576.8473179992889, 576.8524470613878, 576.8751592778235, 576.8889844667458, 577.3468526561318, 577.4299143854885, 577.6267712329169, 577.6381418431721, 577.6869311462541, 577.6988470829799, 577.7032361736923, 577.7823936773543, 577.9148592097184, 577.9260934866733, 577.9287712323704, 577.9789705207413, 578.0457427092351, ...]
In [130]:
def muggle_percentile(N, P):
"""
N: a list
P: percentile
"""
sorted_column = sorted([elem for elem in N if elem != ''])
n = int(round(P * len(sorted_column) + 0.5))
return sorted_column[n-1]
muggle_percentile(data_column['Ancient Runes'], 0.5)
Out[130]:
463.91830514671324
In [131]:
muggle_percentile(data_column['Ancient Runes'], 0.5)
Out[131]:
463.91830514671324
In [132]:
for colname in data_column:
if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
p25 = "Not numeric"
else:
p25 = muggle_percentile(data_column[colname], 0.25)
describe["25%"].append(p25)
describe
Out[132]:
{'25%': [399.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
38510.0,
-489.7242166202939,
-4.312118224021038,
-5.259095401342299,
3.0989999999999998,
-577.5800963375425,
397.5110469338152,
2.218653320946669,
1026.1717128767511,
3.644899504448004,
-0.6734392951104043,
-250.66859,
-41.96],
'50%': [],
'75%': [],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [1599.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
104956.0,
1016.2119403873959,
11.612895082210851,
9.667405456412162,
10.032,
1092.3886105728684,
745.3962198761234,
11.889712754042707,
1098.9582005409077,
13.536762124994421,
3.0565457738978123,
-225.42813999999998,
279.07],
'mean': [799.5,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49634.57024265645,
39.797130890164766,
1.1410195296768058,
-0.38786349744178583,
3.1539096732863516,
-224.5899148634645,
495.747970059158,
2.9630946151165927,
1030.0969463871313,
5.9503729927800775,
-0.0534271367004963,
-243.3744090125,
21.958012499999985],
'min': [0.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
-24370.0,
-966.7405456412164,
-10.295662748653244,
-10.16211940387396,
-8.727,
-1086.4968348887983,
283.8696087336624,
-8.858992991610515,
906.6273196915248,
-4.697483767872527,
-3.313675764124477,
-261.04892,
-181.47],
'std': [462.0245303732981,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
16679.806035559308,
520.298267605171,
5.219681993531829,
5.212793707585852,
4.155300897977581,
486.3448396520667,
106.28516457845276,
4.425774656123574,
44.12511586678027,
3.14785425039337,
0.971456967725625,
8.783639876017116,
97.63160206806155]}
50%¶
In [133]:
for colname in data_column:
if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
p50 = "Not numeric"
else:
p50 = muggle_percentile(data_column[colname], 0.5)
describe["50%"].append(p50)
describe
Out[133]:
{'25%': [399.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
38510.0,
-489.7242166202939,
-4.312118224021038,
-5.259095401342299,
3.0989999999999998,
-577.5800963375425,
397.5110469338152,
2.218653320946669,
1026.1717128767511,
3.644899504448004,
-0.6734392951104043,
-250.66859,
-41.96],
'50%': [799.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49018.0,
258.9341614422865,
3.4690121044769087,
-2.5893416144228647,
4.624,
-419.16429373366526,
463.91830514671324,
4.378175538816984,
1045.5333354167144,
5.877581884166013,
-0.0463258852266251,
-244.86802000000003,
-2.52],
'75%': [],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [1599.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
104956.0,
1016.2119403873959,
11.612895082210851,
9.667405456412162,
10.032,
1092.3886105728684,
745.3962198761234,
11.889712754042707,
1098.9582005409077,
13.536762124994421,
3.0565457738978123,
-225.42813999999998,
279.07],
'mean': [799.5,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49634.57024265645,
39.797130890164766,
1.1410195296768058,
-0.38786349744178583,
3.1539096732863516,
-224.5899148634645,
495.747970059158,
2.9630946151165927,
1030.0969463871313,
5.9503729927800775,
-0.0534271367004963,
-243.3744090125,
21.958012499999985],
'min': [0.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
-24370.0,
-966.7405456412164,
-10.295662748653244,
-10.16211940387396,
-8.727,
-1086.4968348887983,
283.8696087336624,
-8.858992991610515,
906.6273196915248,
-4.697483767872527,
-3.313675764124477,
-261.04892,
-181.47],
'std': [462.0245303732981,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
16679.806035559308,
520.298267605171,
5.219681993531829,
5.212793707585852,
4.155300897977581,
486.3448396520667,
106.28516457845276,
4.425774656123574,
44.12511586678027,
3.14785425039337,
0.971456967725625,
8.783639876017116,
97.63160206806155]}
75%¶
In [134]:
for colname in data_column:
if colname in ["Hogwarts House", "First Name", "Last Name", "Birthday", "Best Hand"]:
p75 = "Not numeric"
else:
p75 = muggle_percentile(data_column[colname], 0.75)
describe["75%"].append(p75)
describe
Out[134]:
{'25%': [399.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
38510.0,
-489.7242166202939,
-4.312118224021038,
-5.259095401342299,
3.0989999999999998,
-577.5800963375425,
397.5110469338152,
2.218653320946669,
1026.1717128767511,
3.644899504448004,
-0.6734392951104043,
-250.66859,
-41.96],
'50%': [799.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49018.0,
258.9341614422865,
3.4690121044769087,
-2.5893416144228647,
4.624,
-419.16429373366526,
463.91830514671324,
4.378175538816984,
1045.5333354167144,
5.877581884166013,
-0.0463258852266251,
-244.86802000000003,
-2.52],
'75%': [1199.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
60828.0,
524.3927519144191,
5.4210456374755775,
4.904680078747834,
5.6670000000000025,
254.99485732415616,
597.4922295175508,
5.8252416563826825,
1058.445387777596,
8.248788657581947,
0.5884103638811112,
-232.55749,
50.45],
'count': [1600,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
1566,
1568,
1567,
1569,
1561,
1565,
1565,
1557,
1566,
1570,
1560,
1600,
1600],
'max': [1599.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
104956.0,
1016.2119403873959,
11.612895082210851,
9.667405456412162,
10.032,
1092.3886105728684,
745.3962198761234,
11.889712754042707,
1098.9582005409077,
13.536762124994421,
3.0565457738978123,
-225.42813999999998,
279.07],
'mean': [799.5,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
49634.57024265645,
39.797130890164766,
1.1410195296768058,
-0.38786349744178583,
3.1539096732863516,
-224.5899148634645,
495.747970059158,
2.9630946151165927,
1030.0969463871313,
5.9503729927800775,
-0.0534271367004963,
-243.3744090125,
21.958012499999985],
'min': [0.0,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
-24370.0,
-966.7405456412164,
-10.295662748653244,
-10.16211940387396,
-8.727,
-1086.4968348887983,
283.8696087336624,
-8.858992991610515,
906.6273196915248,
-4.697483767872527,
-3.313675764124477,
-261.04892,
-181.47],
'std': [462.0245303732981,
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
'Not numeric',
16679.806035559308,
520.298267605171,
5.219681993531829,
5.212793707585852,
4.155300897977581,
486.3448396520667,
106.28516457845276,
4.425774656123574,
44.12511586678027,
3.14785425039337,
0.971456967725625,
8.783639876017116,
97.63160206806155]}
V.2 Data Visualization¶
V.2.1 Histogram¶
In [135]:
import numpy as np
import pandas as pd
import math
from matplotlib import pyplot as plt
import seaborn as sns; sns.set(style="ticks", color_codes=True)
In [136]:
train = pd.read_csv("resources/dataset_train.csv")
In [137]:
data = np.array(train["Arithmancy"])
Ravenclaw = np.array(train[train["Hogwarts House"] == "Ravenclaw"]["Arithmancy"])
Slytherin = np.array(train[train["Hogwarts House"] == "Slytherin"]["Arithmancy"])
Gryffindor = np.array(train[train["Hogwarts House"] == "Gryffindor"]["Arithmancy"])
Hufflepuff = np.array(train[train["Hogwarts House"] == "Hufflepuff"]["Arithmancy"])
In [138]:
Ravenclaw = Ravenclaw[~np.isnan(Ravenclaw)]
Slytherin = Slytherin[~np.isnan(Slytherin)]
Gryffindor = Gryffindor[~np.isnan(Gryffindor)]
Hufflepuff = Hufflepuff[~np.isnan(Hufflepuff)]
bins = np.linspace(math.ceil(min(data)), math.floor(max(data)), 20)
plt.hist(Ravenclaw, bins = bins, alpha=0.1, color = "blue", label="Ravenclaw")
plt.hist(Slytherin, bins = bins, alpha=0.1, color = "gray", label="Slytherin")
plt.hist(Gryffindor, bins = bins, alpha=0.1, color = "red", label="Gryffindor")
plt.hist(Hufflepuff, bins = bins, alpha=0.1, color = "green", label="Hufflepuff")
plt.legend(bbox_to_anchor=(0., 1.02, 1., .102), loc=3,
ncol=2, mode="expand", borderaxespad=0.)
# plt.legend((Ravenclaw, Slytherin, Gryffindor, Hufflepuff), ("Ravenclaw", "Slytherin", "Gryffindor", "Hufflepuff"))
plt.title('Arithmancy')
plt.ylabel('count')
plt.show()
In [162]:
subjects = ["Arithmancy", "Astronomy", "Herbology", "Defense Against the Dark Arts", "Divination", "Muggle Studies", "Ancient Runes", "History of Magic", "Transfiguration", "Potions", "Care of Magical Creatures", "Charms", "Flying"]
for subject in subjects:
data = np.array(train[subject])
Ravenclaw = np.array(train[train["Hogwarts House"] == "Ravenclaw"][subject])
Slytherin = np.array(train[train["Hogwarts House"] == "Slytherin"][subject])
Gryffindor = np.array(train[train["Hogwarts House"] == "Gryffindor"][subject])
Hufflepuff = np.array(train[train["Hogwarts House"] == "Hufflepuff"][subject])
Ravenclaw = Ravenclaw[~np.isnan(Ravenclaw)]
Slytherin = Slytherin[~np.isnan(Slytherin)]
Gryffindor = Gryffindor[~np.isnan(Gryffindor)]
Hufflepuff = Hufflepuff[~np.isnan(Hufflepuff)]
bins = np.linspace(math.ceil(min(data)), math.floor(max(data)), 20)
plt.hist(Ravenclaw, bins = bins, alpha=0.3, color = "blue", label="Ravenclaw")
plt.hist(Slytherin, bins = bins, alpha=0.3, color = "gray", label="Slytherin")
plt.hist(Gryffindor, bins = bins, alpha=0.3, color = "red", label="Gryffindor")
plt.hist(Hufflepuff, bins = bins, alpha=0.3, color = "green", label="Hufflepuff")
plt.title(subject)
plt.ylabel('count')
plt.legend(bbox_to_anchor=(0., 1.02, 1., .102), loc=3,
ncol=2, mode="expand", borderaxespad=0.)
plt.show()
V.2.2 Scatter plot¶
In [163]:
scatter_data = train[["Defense Against the Dark Arts", "Astronomy"]]
scatter_data = scatter_data.dropna(axis=0, how='any')
x = scatter_data["Defense Against the Dark Arts"]
y = scatter_data["Astronomy"]
plt.scatter(x, y)
plt.show()
In [179]:
data = train[subjects]
corr = data.corr()
fig, ax = plt.subplots(figsize=(20, 40))
ax.matshow(corr)
plt.xticks(range(len(corr.columns)), corr.columns)
plt.yticks(range(len(corr.columns)), corr.columns)
plt.show()
In [180]:
abs(data.corr())
Out[180]:
| Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Arithmancy | 1.000000 | 0.033355 | 0.018613 | 0.037280 | 0.003485 | 0.055085 | 0.076992 | 0.069778 | 0.004673 | 0.302859 | 0.042129 | 0.100896 | 0.166747 |
| Astronomy | 0.033355 | 1.000000 | 0.020210 | 1.000000 | 0.481663 | 0.578511 | 0.192767 | 0.409449 | 0.440900 | 0.558429 | 0.012876 | 0.521203 | 0.523958 |
| Herbology | 0.018613 | 0.020210 | 1.000000 | 0.023810 | 0.549578 | 0.437113 | 0.042959 | 0.510289 | 0.537615 | 0.106415 | 0.047737 | 0.746614 | 0.271344 |
| Defense Against the Dark Arts | 0.037280 | 1.000000 | 0.023810 | 1.000000 | 0.479310 | 0.576553 | 0.193138 | 0.409559 | 0.442231 | 0.556683 | 0.010865 | 0.521115 | 0.526304 |
| Divination | 0.003485 | 0.481663 | 0.549578 | 0.479310 | 1.000000 | 0.249272 | 0.435663 | 0.170008 | 0.166173 | 0.482459 | 0.023438 | 0.395282 | 0.402269 |
| Muggle Studies | 0.055085 | 0.578511 | 0.437113 | 0.576553 | 0.249272 | 1.000000 | 0.569814 | 0.289745 | 0.266522 | 0.184076 | 0.050356 | 0.847607 | 0.184862 |
| Ancient Runes | 0.076992 | 0.192767 | 0.042959 | 0.193138 | 0.435663 | 0.569814 | 1.000000 | 0.472979 | 0.449731 | 0.122483 | 0.010400 | 0.354147 | 0.559944 |
| History of Magic | 0.069778 | 0.409449 | 0.510289 | 0.409559 | 0.170008 | 0.289745 | 0.472979 | 1.000000 | 0.849203 | 0.602211 | 0.029390 | 0.539685 | 0.896283 |
| Transfiguration | 0.004673 | 0.440900 | 0.537615 | 0.442231 | 0.166173 | 0.266522 | 0.449731 | 0.849203 | 1.000000 | 0.568442 | 0.044615 | 0.549467 | 0.873673 |
| Potions | 0.302859 | 0.558429 | 0.106415 | 0.556683 | 0.482459 | 0.184076 | 0.122483 | 0.602211 | 0.568442 | 1.000000 | 0.003523 | 0.248049 | 0.558594 |
| Care of Magical Creatures | 0.042129 | 0.012876 | 0.047737 | 0.010865 | 0.023438 | 0.050356 | 0.010400 | 0.029390 | 0.044615 | 0.003523 | 1.000000 | 0.049265 | 0.021738 |
| Charms | 0.100896 | 0.521203 | 0.746614 | 0.521115 | 0.395282 | 0.847607 | 0.354147 | 0.539685 | 0.549467 | 0.248049 | 0.049265 | 1.000000 | 0.355194 |
| Flying | 0.166747 | 0.523958 | 0.271344 | 0.526304 | 0.402269 | 0.184862 | 0.559944 | 0.896283 | 0.873673 | 0.558594 | 0.021738 | 0.355194 | 1.000000 |
The two freatures which are similar are Defense Against the Dark Arts and Astronomy. Astronomy is Defense Against the Dark Arts times -100. Apart from that, Flying and History of Magic, and also have a strong negative correlation. Charms and Muggle Studies have strong positive correlation.
V.2.3 Pair plot¶
In [181]:
import seaborn as sns
# sns.set(style="ticks")
data = train[subjects]
data = data.dropna(axis=0, how='any')
#plt.subplots(figsize=(40,30))
sns.pairplot(data)
#sns.regplot(x="total_bill", y="tip", data=data)
plt.show()
V.3 Logistic Regression¶
Just a bit more data exploration¶
In [182]:
import sklearn.linear_model as sklm ##Includes Logistic Regression, which will be tested for predictive capability
import sklearn.decomposition as skdc ##Includes Principal Component Analysis, a method of dimensionality reduction
import sklearn.pipeline as skpl ##Convenient module for calculating PCs and using them in logistic regression
%matplotlib inline
from subprocess import check_output
import datetime
import copy
import random
import pandas as pd
import numpy as np
import statistics
In [183]:
train = pd.read_csv("resources/dataset_train.csv")
train.drop('Index', axis=1, inplace=True)
train.drop('First Name', axis=1, inplace=True)
train.drop('Last Name', axis=1, inplace=True)
train = train.fillna(train.mean()) # replace the NaN values with the mean of each column
train["birthday_dt"] = pd.to_datetime(train.Birthday)
train["birthday_dt"] = pd.to_timedelta(train.birthday_dt).dt.total_seconds()
train.drop('Birthday', axis=1, inplace=True)
train.head()
Out[183]:
| Hogwarts House | Best Hand | Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | birthday_dt | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Ravenclaw | Left | 58384.0 | -487.886086 | 5.727180 | 4.878861 | 4.722 | 272.035831 | 532.484226 | 5.231058 | 1039.788281 | 3.790369 | 0.715939 | -232.79405 | -26.89 | 954374400.0 |
| 1 | Slytherin | Right | 67239.0 | -552.060507 | -5.987446 | 5.520605 | -5.612 | -487.340557 | 367.760303 | 4.107170 | 1058.944592 | 7.248742 | 0.091674 | -252.18425 | -113.45 | 939859200.0 |
| 2 | Ravenclaw | Left | 23702.0 | -366.076117 | 7.725017 | 3.660761 | 6.140 | 664.893521 | 602.585284 | 3.555579 | 1088.088348 | 8.728531 | -0.515327 | -227.34265 | 30.42 | 941587200.0 |
| 3 | Gryffindor | Left | 32667.0 | 697.742809 | -6.497214 | -6.977428 | 4.026 | -537.001128 | 523.982133 | -4.809637 | 920.391449 | 0.821911 | -0.014040 | -256.84675 | 200.64 | 966643200.0 |
| 4 | Gryffindor | Left | 60158.0 | 436.775204 | -7.820623 | -0.387863 | 2.236 | -444.262537 | 599.324514 | -3.444377 | 937.434724 | 4.311066 | -0.264070 | -256.38730 | 157.98 | 906854400.0 |
In [184]:
train.groupby("Hogwarts House").mean()
Out[184]:
| Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | birthday_dt | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Hogwarts House | ||||||||||||||
| Gryffindor | 49136.104380 | 487.788762 | -4.657073 | -4.864328 | 4.869286 | -493.015466 | 594.768415 | -4.624659 | 952.825020 | 2.974979 | -0.138137 | -252.731046 | 189.024526 | 9.228009e+08 |
| Hufflepuff | 50240.909247 | 487.320610 | 4.847983 | -4.886143 | 4.975765 | -495.245736 | 402.496805 | 4.948376 | 1049.304591 | 4.986878 | -0.029110 | -244.347364 | -7.085690 | 9.234889e+08 |
| Ravenclaw | 49451.444341 | -469.481996 | 4.934253 | 4.724076 | 4.946495 | 466.557054 | 596.138198 | 4.867469 | 1049.877458 | 6.960878 | 0.002346 | -231.080576 | -3.979797 | 9.301639e+08 |
| Slytherin | 49379.984789 | -483.865763 | -4.657685 | 4.857334 | -4.549760 | -474.510256 | 404.310461 | 4.914403 | 1051.174387 | 9.388874 | -0.086222 | -249.593194 | -70.321661 | 9.219029e+08 |
In [185]:
#train.groupby("Hogwarts House")
for colname in list(train):
train[colname].hist(by=train['Hogwarts House'])
Check if our data is imbalanced or not¶
In [186]:
sns.countplot(x = "Hogwarts House", data = train)
plt.show()
It seems more or less a balanced dataset. We don't need to oversample/undersample the training data.
feature selection¶
Running PCA for dimentionality reduction¶
normalization¶
In [187]:
train["Best Hand"] = train["Best Hand"].astype('category')
train["Best Hand"] = train["Best Hand"].cat.codes
train.head()
Out[187]:
| Hogwarts House | Best Hand | Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | birthday_dt | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Ravenclaw | 0 | 58384.0 | -487.886086 | 5.727180 | 4.878861 | 4.722 | 272.035831 | 532.484226 | 5.231058 | 1039.788281 | 3.790369 | 0.715939 | -232.79405 | -26.89 | 954374400.0 |
| 1 | Slytherin | 1 | 67239.0 | -552.060507 | -5.987446 | 5.520605 | -5.612 | -487.340557 | 367.760303 | 4.107170 | 1058.944592 | 7.248742 | 0.091674 | -252.18425 | -113.45 | 939859200.0 |
| 2 | Ravenclaw | 0 | 23702.0 | -366.076117 | 7.725017 | 3.660761 | 6.140 | 664.893521 | 602.585284 | 3.555579 | 1088.088348 | 8.728531 | -0.515327 | -227.34265 | 30.42 | 941587200.0 |
| 3 | Gryffindor | 0 | 32667.0 | 697.742809 | -6.497214 | -6.977428 | 4.026 | -537.001128 | 523.982133 | -4.809637 | 920.391449 | 0.821911 | -0.014040 | -256.84675 | 200.64 | 966643200.0 |
| 4 | Gryffindor | 0 | 60158.0 | 436.775204 | -7.820623 | -0.387863 | 2.236 | -444.262537 | 599.324514 | -3.444377 | 937.434724 | 4.311066 | -0.264070 | -256.38730 | 157.98 | 906854400.0 |
In [188]:
def standardization(x): #Define function to standardize the data, since all variables are not in the same units
xmean = np.mean(x) ##calculate mean
sd = np.std(x) ##calculate standard deviation
x_z = (x - xmean) / sd ##calculate standardized value to return
return(x_z)
In [189]:
##drop response variable and categorical variable, and standardize predictor variables
train_stnd = train.drop(['Hogwarts House', "Best Hand"], 1).apply(standardization,broadcast = True)
# train_stnd["Best Hand"] = train["Best Hand"]
#train_stnd["year"] = train["year"]
#train_stnd["month"] = train["month"]
#train_stnd["day"] = train["day"]
train_stnd["Best Hand"] = train["Best Hand"]
train_stnd.head()
Out[189]:
| Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | birthday_dt | Best Hand | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0.530385 | -1.024817 | 0.888115 | 1.020603e+00 | 0.382179 | 1.032825 | 0.349594 | 0.519639 | 0.222075 | -0.692929 | 0.802318 | 1.204930 | -0.500486 | 0.653330 | 0 |
| 1 | 1.067170 | -1.149451 | -1.380435 | 1.144963e+00 | -2.136447 | -0.546438 | -1.217971 | 0.262132 | 0.661039 | 0.416516 | 0.151316 | -1.003297 | -1.387362 | 0.331607 | 1 |
| 2 | -1.572018 | -0.788249 | 1.274999 | 7.845560e-01 | 0.727777 | 1.849844 | 1.016698 | 0.135751 | 1.328864 | 0.891232 | -0.481683 | 1.825755 | 0.086700 | 0.369907 | 0 |
| 3 | -1.028564 | 1.277801 | -1.479153 | -1.276948e+00 | 0.212548 | -0.649717 | 0.268685 | -1.780900 | -2.513885 | -1.645209 | 0.041074 | -1.534279 | 1.830738 | 0.925263 | 0 |
| 4 | 0.637924 | 0.770974 | -1.735432 | 1.075714e-17 | -0.223715 | -0.456850 | 0.985667 | -1.468090 | -2.123341 | -0.525889 | -0.219665 | -1.481955 | 1.393652 | -0.399930 | 0 |
Prepare predictors and target values¶
In [190]:
X = train_stnd #store predictor variables
y = train['Hogwarts House'] #store response variable
pca = skdc.PCA() #empty model space
In [191]:
pcafit = pca.fit_transform(X,y)
In [192]:
var_explained = pca.explained_variance_ratio_ #ratio of variance each PC explains
print(pd.Series(var_explained))
0 0.346751 1 0.194229 2 0.149285 3 0.082687 4 0.069833 5 0.069448 6 0.030628 7 0.017558 8 0.015155 9 0.010485 10 0.009738 11 0.001501 12 0.001463 13 0.000743 14 0.000497 dtype: float64
In [193]:
for i in range(len(var_explained)):
var_total = sum(var_explained[0:i])
if var_total > 0.9:
pca_n = i
break
else:
continue
pca_n
Out[193]:
6
In [194]:
print(sum(var_explained[0:pca_n]))
0.912232529608
Taking the first six PCAs yields to explaining more than 90% of the variances of the original dataset. Therefore we just keep the first six PCAs for a logistic regression.
In [195]:
pca_data = pd.DataFrame(pcafit).iloc[:,0:pca_n]
In [196]:
pca_data['Hogwarts House'] = train.reset_index()['Hogwarts House']
pca_data.head()
Out[196]:
| 0 | 1 | 2 | 3 | 4 | 5 | Hogwarts House | |
|---|---|---|---|---|---|---|---|
| 0 | -1.730427 | -1.591346 | -0.143109 | -0.805879 | 0.081280 | 1.062924 | Ravenclaw |
| 1 | -1.430306 | 3.130497 | -1.198094 | -1.334991 | 0.144872 | 0.651074 | Slytherin |
| 2 | -2.513358 | -2.493750 | -0.233755 | 1.511292 | 0.596065 | -0.676330 | Ravenclaw |
| 3 | 4.681669 | 0.013367 | -0.917009 | 0.915325 | 0.902560 | 0.475326 | Gryffindor |
| 4 | 3.314826 | 0.351048 | -2.086782 | -0.437052 | -0.341566 | -0.156114 | Gryffindor |
In [197]:
# make Ravenclaw_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Ravenclaw", "Ravenclaw_orNot"] = 1
pca_data.loc[pca_data["Ravenclaw_orNot"] != 1.0, "Ravenclaw_orNot"] = 0
pca_data["Ravenclaw_orNot"] = pca_data["Ravenclaw_orNot"].astype('category').apply(int)
# make Slytherin_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Slytherin", "Slytherin_orNot"] = 1
pca_data.loc[pca_data["Slytherin_orNot"] != 1.0, "Slytherin_orNot"] = 0
pca_data["Slytherin_orNot"] = pca_data["Slytherin_orNot"].astype('category').apply(int)
# make Gryffindor_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Gryffindor", "Gryffindor_orNot"] = 1
pca_data.loc[pca_data["Gryffindor_orNot"] != 1.0, "Gryffindor_orNot"] = 0
pca_data["Gryffindor_orNot"] = pca_data["Gryffindor_orNot"].astype('category').apply(int)
# make Hufflepuff_orNot column
pca_data.loc[pca_data["Hogwarts House"] == "Hufflepuff", "Hufflepuff_orNot"] = 1
pca_data.loc[pca_data["Hufflepuff_orNot"] != 1.0, "Hufflepuff_orNot"] = 0
pca_data["Hufflepuff_orNot"] = pca_data["Hufflepuff_orNot"].astype('category').apply(int)
pca_data.head()
Out[197]:
| 0 | 1 | 2 | 3 | 4 | 5 | Hogwarts House | Ravenclaw_orNot | Slytherin_orNot | Gryffindor_orNot | Hufflepuff_orNot | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | -1.730427 | -1.591346 | -0.143109 | -0.805879 | 0.081280 | 1.062924 | Ravenclaw | 1 | 0 | 0 | 0 |
| 1 | -1.430306 | 3.130497 | -1.198094 | -1.334991 | 0.144872 | 0.651074 | Slytherin | 0 | 1 | 0 | 0 |
| 2 | -2.513358 | -2.493750 | -0.233755 | 1.511292 | 0.596065 | -0.676330 | Ravenclaw | 1 | 0 | 0 | 0 |
| 3 | 4.681669 | 0.013367 | -0.917009 | 0.915325 | 0.902560 | 0.475326 | Gryffindor | 0 | 0 | 1 | 0 |
| 4 | 3.314826 | 0.351048 | -2.086782 | -0.437052 | -0.341566 | -0.156114 | Gryffindor | 0 | 0 | 1 | 0 |
Run logistic regression¶
It's a multinominal regression model classifying each observation into four categories. This multinominal logistic regression model consists of four logistic regression submodels each of which returns the probability of classifying into one house against other three. And we compare the probabilities of four submodels and choose the one with the highest probability.
Defining functions for logistic regression¶
The logit function for logistic regression is defined as
$$P(G = k | X = x) = \frac{1}{1 + \exp(\beta_{0} + \beta_{1}^Tx)} = p_k(x;\theta)$$
where $\theta$ is a parameter set $$\theta = \{\beta_{0}, \beta_{1}\}$$
Here $k = \{0,1\}$
In [198]:
def sigmoid(scores):
return 1 / (1 + np.exp(-scores))
The log-likelihood for N obseravtion in case of binary logistic regression is
$$l(\beta) = \sum_{i=1}^{N}[y_i\log{p(x_i;\beta)} + (1-y_i)\log{\{1-p(x_i;\beta)\}}] $$ $$= \sum_{i=1}^{N}\{ y_i\beta^Tx_i - \log{(1+\exp{\beta^Tx_i)}}\}$$ where $$\beta = \{\beta_{0}, \beta_{1}\}$$
The objective is to find the parameters which maximizes the log-likelihood. It is equivalent to find the parameters which minimizes the cross-entropy cost function $$CE = J(\theta) = \frac{1}{m}(-y^T\log{(P)} - (1-y)^T\log{(1-P)})$$ where $$P = p(X\beta)$$
In [199]:
def log_likelihood(features, target, weights):
scores = np.dot(features, weights)
ll = np.sum( target*scores - np.log(1 + np.exp(scores)) )
return ll
The logit function to fit the observations are obtained by following steps in gradient descent method:
- start with some random parameter value (here we start with all the parameters = 0)
- take a derivative of log-likelihood to find the slope, and get parameters that increase the likelihood
- update the logit function with new parameters obtained in step 2.
- iterate 1~3 until we obtain stable likelihood value(where we reach local maxima)
The derivative of log-likelihood is $$\frac{\delta l(\beta)}{\delta\beta} = X^T(y - s(z))$$ where $$s(z) = \frac{1}{1 + \exp(\beta_{0} + \beta_{1}^Tx)}$$ the sigmoid function.
In [200]:
def logistic_regression(features, target, num_steps, learning_rate, add_intercept = False):
if add_intercept:
intercept = np.ones((features.shape[0], 1))
features = np.hstack((intercept, features))
# start with all the parameters = 0
weights = np.zeros(features.shape[1])
for step in range(num_steps):
#print(step)
scores = np.dot(features, weights)
predictions = sigmoid(scores)
# Update weights with gradient
output_error_signal = target - predictions
gradient = np.dot(features.T, output_error_signal)
weights += learning_rate * gradient
# Print log-likelihood every so often
if step % 10000 == 0:
print(log_likelihood(features, target, weights))
return weights
Prepare data for k-fold Cross Validation¶
choice of k¶
Choice of k is normally 5-10. We choose 5 as our dataset would not be large enough if we split it into more than 5 datasets.
In [203]:
pred_res = {} # a big storage for prediction result on validation for all the CV folds
weight_res = {} # a big storage for weights parameters
acc_res = {} # a storage for accuracy rates
k = 5 # number of folds for CV
rows = pca_data.shape[0]
dct = {'Ravenclaw_orNot': "Ravenclaw",
'Slytherin_orNot': "Slytherin",
'Gryffindor_orNot': "Gryffindor",
'Hufflepuff_orNot': "Hufflepuff"}
for i in range(k): # try k-times for k-fold CV
print("Now executing fold", i + 1)
pred_res_fold = [] # storage for prediction result on validation
weight_houses = {} # storage for weight results on validation
if i == 0:
val_index = range(0, int(rows/k*(i+1)))
# validation data for CV
validation_pca_data = pca_data.iloc[0:int(rows/k*(i+1))]
# label for validation data
validation_pca_label = validation_pca_data['Hogwarts House']
# train data for CV
train_pca_data = pca_data[~pca_data.index.isin(val_index)]
else:
val_index = range(int(rows/k*(i))+1, int(rows/k*(i+1)))
# validation data for CV
validation_pca_data = pca_data.iloc[int(rows/k*(i))+1:int(rows/k*(i+1))]
# label for validation data
validation_pca_label = validation_pca_data['Hogwarts House']
# train data for CV
train_pca_data = pca_data[~pca_data.index.isin(val_index)]
# we build 4 logistic regression sub models
# and compare the probabilities
for house in ["Ravenclaw_orNot",
"Slytherin_orNot",
"Gryffindor_orNot",
"Hufflepuff_orNot"]:
# train data
X_pca = train_pca_data.iloc[:,0:pca_n].as_matrix(columns=None)
# label of train data
y_pca = train_pca_data[house].as_matrix(columns=None)
# validation data
X_val_pca = validation_pca_data.iloc[:,0:pca_n].as_matrix(columns=None)
# label of validation data for each house
y_val_pca = validation_pca_data[house].as_matrix(columns=None)
# training
weights = logistic_regression(X_pca, y_pca,
num_steps = 30000,
learning_rate = 5e-5,
add_intercept=True)
# store weights data for predicting on test data
weight_houses["{0}".format(house)] = weights
""" # this part is not necessary
#weight_houses["weight_" + str(house)] = weights
data_with_intercept = np.hstack((np.ones((X_pca.shape[0], 1)),
X_pca))
final_scores = np.dot(data_with_intercept, weights)
preds = np.round(sigmoid(final_scores))
# print("accuracy rate for " + house + " on training is " \
# + format((preds == y_pca).sum().astype(float) / len(preds)))
"""
# validation
val_data_with_intercept = np.hstack((np.ones((X_val_pca.shape[0], 1)),
X_val_pca))
val_final_scores = np.dot(val_data_with_intercept, weights)
# val_preds = np.round(sigmoid(val_final_scores))
# print("accuracy rate for " + house + " on validation is " \
# + format((val_preds == y_val_pca).sum().astype(float) / len(val_preds)))
val_preds = pd.DataFrame(sigmoid(val_final_scores))
val_preds.columns = [house]
pred_res_fold.append(val_preds)
pred_res_fold = pd.concat(pred_res_fold, axis=1)
# create a column with a name of the house with the highest probability
pred_res_fold["predicted_house"] = pred_res_fold.idxmax(axis=1)
pred_res_fold= pred_res_fold.assign(predicted_house = pred_res_fold.predicted_house.map(dct))
pred_res_fold["label"] = validation_pca_label.reset_index()['Hogwarts House']
# check the accuracy
acc = len(pred_res_fold[pred_res_fold.predicted_house == pred_res_fold.label]) / len(pred_res_fold)
print("Accuracy rate for fold", i + 1, "is", acc)
# storing the results
pred_res["pred_res_" + "fold_" + str(i + 1)] = pred_res_fold
weight_res["weight_fold_" + str(i + 1)] = weight_houses
fold_name = "fold" + str(int(i+1))
acc_res[fold_name] = acc
numbers = [acc_res[key] for key in acc_res]
mean_ = statistics.mean(numbers)
print("Average accuracy rate is ", mean_)
Now executing fold 1 -833.215989324 -88.0403500361 -88.0401369571 -849.082766385 -62.5403362639 -62.5275540022 -830.273896701 -69.6563390489 -69.64361311 -850.32586065 -84.3933113454 -84.3928942647 Accuracy rate for fold 1 is 0.990625 Now executing fold 2 -834.024579624 -74.114033082 -74.1067732262 -848.189360362 -67.9559500924 -67.9445067813 -830.273176648 -58.1206442075 -58.0911057731 -851.6293655 -79.3020621947 -79.3009677939 Accuracy rate for fold 2 is 0.9811912225705329 Now executing fold 3 -833.44473183 -90.7304550715 -90.7303906057 -849.995355657 -59.0416838341 -59.0104704523 -830.697469389 -60.0147249662 -59.9971493084 -849.972740896 -64.2509148961 -64.2341924028 Accuracy rate for fold 3 is 0.9780564263322884 Now executing fold 4 -833.761711191 -96.9303756035 -96.9302943599 -849.687372034 -66.1119559969 -66.0849549017 -830.100786423 -54.9086747132 -54.8759441519 -850.622036234 -71.2418964904 -71.2328882052 Accuracy rate for fold 4 is 0.987460815047022 Now executing fold 5 -833.75018947 -75.1384510145 -75.1382971547 -847.742060693 -50.9451554432 -50.8803431538 -830.097135226 -44.983344531 -44.709154334 -851.283113739 -73.4222740935 -73.4212780018 Accuracy rate for fold 5 is 0.9717868338557993 Average accuracy rate is 0.9818240595611285
In [204]:
for key, value in acc_res.items():
if value == max(acc_res.values()):
ind = list(acc_res.keys()).index(key)
ind
Out[204]:
0
The 1st fold yielded the best accuracy rate.
In [205]:
best_weight = list(weight_res.values())[ind]
best_weight
Out[205]:
{'Gryffindor_orNot': array([-3.52934504, 1.64318928, -0.74939475, -1.08975622, 0.86700695,
-0.21709654, -0.14180332]),
'Hufflepuff_orNot': array([-2.24949422, 0.31969933, 0.49834166, 3.16032885, -0.17387664,
-0.06636997, -0.16178321]),
'Ravenclaw_orNot': array([-2.67149802, -1.18300312, -1.89149097, -0.81030679, -0.19593262,
0.33595545, 0.12427833]),
'Slytherin_orNot': array([-3.77705969, -0.99198574, 2.15088835, -1.06269565, -0.37679516,
-0.03464031, 0.06384315])}
Prediction on test data¶
PCA¶
In [206]:
test = pd.read_csv("resources/dataset_test.csv")
test.head()
Out[206]:
| Index | Hogwarts House | First Name | Last Name | Birthday | Best Hand | Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | NaN | Rico | Sargent | 2001-10-06 | Right | 41642.0 | 696.096071 | 3.020172 | -6.960961 | 7.996 | -365.151850 | 393.138185 | 4.207691 | 1046.742736 | 3.668983 | 0.373853 | -244.48172 | -13.62 |
| 1 | 1 | NaN | Tamara | Shackelford | 1998-01-08 | Left | 45352.0 | -370.844655 | 2.965226 | 3.708447 | 6.349 | 522.580486 | 602.853051 | 6.460017 | 1048.053878 | 8.514622 | 0.577432 | -231.29200 | -26.26 |
| 2 | 2 | NaN | Staci | Crandall | 1998-09-15 | Left | 43502.0 | 320.303990 | -6.185697 | -3.203040 | 4.619 | -630.073207 | 588.071795 | -5.565818 | 936.437358 | 1.850829 | -1.647150 | -252.99343 | 200.15 |
| 3 | 3 | NaN | Dee | Gavin | 2001-05-10 | Right | 61831.0 | 407.202928 | 4.962442 | NaN | NaN | -449.179806 | 427.699966 | NaN | 1043.397718 | 4.656573 | 1.164708 | -244.01660 | -11.15 |
| 4 | 4 | NaN | Gregory | Gustafson | 1999-02-01 | Right | NaN | 288.337747 | 3.737656 | -2.883377 | 4.886 | -449.732166 | 385.712782 | 2.876347 | 1051.377936 | 2.750586 | 0.102104 | -243.99806 | -7.12 |
In [207]:
test.drop('Index', axis=1, inplace=True)
test.drop('First Name', axis=1, inplace=True)
test.drop('Last Name', axis=1, inplace=True)
test = test.fillna(test.mean())
test["birthday_dt"] = pd.to_datetime(test.Birthday)
test["birthday_dt"] = pd.to_timedelta(test.birthday_dt).dt.total_seconds()
test.drop('Birthday', axis=1, inplace=True)
test["Best Hand"] = test["Best Hand"].astype('category')
test["Best Hand"] = test["Best Hand"].cat.codes
test_stnd = test.drop(['Hogwarts House', "Best Hand"], 1).apply(standardization,broadcast = True)
test_stnd["Best Hand"] = test["Best Hand"]
test_stnd.head()
Out[207]:
| Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | birthday_dt | Best Hand | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | -5.557378e-01 | 1.286903 | 0.328317 | -1.269178e+00 | 1.188731e+00 | -0.295413 | -1.022805 | 3.240565e-01 | 0.355048 | -0.664301 | 0.348263 | -0.149216 | -0.389068 | 1.764672 | 1 |
| 1 | -3.116518e-01 | -0.832194 | 0.317281 | 8.390469e-01 | 7.617148e-01 | 1.513413 | 1.063759 | 8.537717e-01 | 0.384405 | 0.862810 | 0.550332 | 1.364013 | -0.522027 | -0.920950 | 0 |
| 2 | -4.333658e-01 | 0.540526 | -1.520663 | -5.266305e-01 | 3.131789e-01 | -0.835212 | 0.916692 | -1.974534e+00 | -2.114761 | -1.237296 | -1.657741 | -1.125747 | 1.859560 | -0.429798 | 0 |
| 3 | 7.725240e-01 | 0.713120 | 0.718418 | -2.193749e-17 | -1.151387e-16 | -0.466627 | -0.678932 | 2.088869e-16 | 0.280150 | -0.353061 | 1.133250 | -0.095854 | -0.363086 | 1.471945 | 1 |
| 4 | -4.786952e-16 | 0.477037 | 0.472422 | -4.634667e-01 | 3.824038e-01 | -0.467752 | -1.096685 | 1.094332e-02 | 0.458833 | -0.953736 | 0.078532 | -0.093727 | -0.320695 | -0.156717 | 1 |
In [208]:
X_test = test_stnd #store predictor variables
y_test = test['Hogwarts House'] #store response variable
pca_test = skdc.PCA() #empty model space
pd.DataFrame(X_test).head()
Out[208]:
| Arithmancy | Astronomy | Herbology | Defense Against the Dark Arts | Divination | Muggle Studies | Ancient Runes | History of Magic | Transfiguration | Potions | Care of Magical Creatures | Charms | Flying | birthday_dt | Best Hand | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | -5.557378e-01 | 1.286903 | 0.328317 | -1.269178e+00 | 1.188731e+00 | -0.295413 | -1.022805 | 3.240565e-01 | 0.355048 | -0.664301 | 0.348263 | -0.149216 | -0.389068 | 1.764672 | 1 |
| 1 | -3.116518e-01 | -0.832194 | 0.317281 | 8.390469e-01 | 7.617148e-01 | 1.513413 | 1.063759 | 8.537717e-01 | 0.384405 | 0.862810 | 0.550332 | 1.364013 | -0.522027 | -0.920950 | 0 |
| 2 | -4.333658e-01 | 0.540526 | -1.520663 | -5.266305e-01 | 3.131789e-01 | -0.835212 | 0.916692 | -1.974534e+00 | -2.114761 | -1.237296 | -1.657741 | -1.125747 | 1.859560 | -0.429798 | 0 |
| 3 | 7.725240e-01 | 0.713120 | 0.718418 | -2.193749e-17 | -1.151387e-16 | -0.466627 | -0.678932 | 2.088869e-16 | 0.280150 | -0.353061 | 1.133250 | -0.095854 | -0.363086 | 1.471945 | 1 |
| 4 | -4.786952e-16 | 0.477037 | 0.472422 | -4.634667e-01 | 3.824038e-01 | -0.467752 | -1.096685 | 1.094332e-02 | 0.458833 | -0.953736 | 0.078532 | -0.093727 | -0.320695 | -0.156717 | 1 |
In [209]:
pcafit_test = pca_test.fit_transform(X_test, y_test)
var_explained_test = pca_test.explained_variance_ratio_
for i in range(len(var_explained_test)):
var_total = sum(var_explained_test[0:i])
if var_total > 0.9:
pca_n_test = i
break
else:
continue
pca_n_test
Out[209]:
6
In [210]:
pca_data_test = pd.DataFrame(pcafit_test).iloc[:,0:pca_n_test]
pca_data_test.head()
Out[210]:
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| 0 | 0.777859 | 0.565320 | -2.331824 | -0.324158 | 1.256196 | -1.139555 |
| 1 | -2.291014 | -1.895994 | 0.403900 | -0.524618 | 0.125421 | 0.728123 |
| 2 | 3.982389 | -0.802268 | 1.607060 | -0.126481 | -1.409280 | -0.830468 |
| 3 | 0.073076 | 0.777955 | -1.244947 | 0.961774 | 1.562459 | -0.160547 |
| 4 | 0.355395 | 0.571614 | -1.452583 | 0.065172 | -0.203042 | 0.419440 |
In [211]:
X_pca_test = pca_data_test.as_matrix(columns=None)
X_pca_test
Out[211]:
array([[ 0.77785925, 0.56531959, -2.33182419, -0.32415781, 1.25619624,
-1.13955478],
[-2.29101397, -1.89599445, 0.40390022, -0.52461808, 0.1254213 ,
0.72812257],
[ 3.98238879, -0.80226795, 1.60706043, -0.12648079, -1.40927954,
-0.83046791],
...,
[ 0.00532242, 0.95465227, -1.47995995, 0.32923525, -2.20923482,
-0.7914288 ],
[-2.98489288, -2.02785353, 0.55271938, 0.57529365, -0.80116152,
-0.2359513 ],
[-1.00082874, -1.1585939 , -0.54719459, 0.5935047 , 0.71649086,
0.63746694]])
Prediction¶
In [212]:
test_res = []
for house in best_weight.keys():
data_with_intercept = np.hstack((np.ones((X_pca_test.shape[0], 1)), X_pca_test))
final_scores = np.dot(data_with_intercept, best_weight[house])
preds = sigmoid(final_scores)
preds = pd.DataFrame(preds)
preds.columns = [house]
test_res.append(preds)
test_res = pd.concat(test_res, axis=1)
test_res.head()
Out[212]:
| Ravenclaw_orNot | Slytherin_orNot | Gryffindor_orNot | Hufflepuff_orNot | |
|---|---|---|---|---|
| 0 | 0.081093 | 0.299674 | 0.371480 | 0.000132 |
| 1 | 0.971617 | 0.003104 | 0.001008 | 0.063851 |
| 2 | 0.000444 | 0.000015 | 0.898296 | 0.981157 |
| 3 | 0.051950 | 0.217546 | 0.107345 | 0.002429 |
| 4 | 0.046311 | 0.206325 | 0.148090 | 0.001490 |
In [213]:
test_res["predicted_house"] = test_res.idxmax(axis=1)
dct = {'Ravenclaw_orNot': "Ravenclaw",
'Slytherin_orNot': "Slytherin",
'Gryffindor_orNot': "Gryffindor",
'Hufflepuff_orNot': "Hufflepuff"}
test_res= test_res.assign(predicted_house = test_res.predicted_house.map(dct))
test_res.head()
Out[213]:
| Ravenclaw_orNot | Slytherin_orNot | Gryffindor_orNot | Hufflepuff_orNot | predicted_house | |
|---|---|---|---|---|---|
| 0 | 0.081093 | 0.299674 | 0.371480 | 0.000132 | Gryffindor |
| 1 | 0.971617 | 0.003104 | 0.001008 | 0.063851 | Ravenclaw |
| 2 | 0.000444 | 0.000015 | 0.898296 | 0.981157 | Hufflepuff |
| 3 | 0.051950 | 0.217546 | 0.107345 | 0.002429 | Slytherin |
| 4 | 0.046311 | 0.206325 | 0.148090 | 0.001490 | Slytherin |